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        <title>Miscellanea</title>
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    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-1&amp;rev=1547328045&amp;do=diff">
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        <dc:date>2019-01-12T13:20:45+00:00</dc:date>
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        <title>math-341:m341-s19-hw:hw-1</title>
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        <description>Mathematics 341 - Spring 2019

Homework

	*  Either download and install R and RStudio on your computer, and check that they work, or check that you can use RStudio on the server at http://fisher.furman.edu.
	*  Suppose the lifetimes, in hours, of ten light bulbs were found to be 335.9, 67.5, 92.4, 189.8, 399.6, 605.5, 1133.2, 939.2, 67.7, and 31.2. Store these data in a file, use read.table() to read them into R, use summary() to find a numerical summary, and use both hist() to make a histogram…</description>
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        <dc:date>2019-01-15T10:16:44+00:00</dc:date>
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        <title>math-341:m341-s19-hw:hw-2</title>
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        <description>Mathematics 341 - Spring 2019

Homework

Section 5.2: 5.2.1, 5.2.3,5.2.4, 5.2.5, 5.2.6, 5.2.7, 5.2.8, 5.2.9</description>
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        <dc:date>2019-01-22T10:11:39+00:00</dc:date>
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        <title>math-341:m341-s19-hw:hw-3</title>
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        <description>Mathematics 341 - Spring 2019

Homework

Section 5.2: 5.2.10, 5.2.11,5.2.12, 5.2.13, 5.2.14, 5.2.15, 5.2.16</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-01-24T08:30:34+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-4</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-4&amp;rev=1548347434&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.2: 5.2.17, 5.2.19,5.2.21, 5.2.22, 5.2.23</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-5&amp;rev=1548607924&amp;do=diff">
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        <dc:date>2019-01-27T08:52:04+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-5</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-5&amp;rev=1548607924&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.3: 5.3.1, 5.3.2, 5.3.3, 5.3.4, 5.3.5, 5.3.11, 5.3.13, 5.3.15, 5.3.19, 5.3.20, 5.3.23, 5.3.25, 5.3.27

Problem Set # 1 (due Friday, 1 February):

Problems 5.2.4, 5.2.12, 5.2.16, 5.2.22</description>
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        <dc:date>2019-01-29T09:24:59+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-6</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-6&amp;rev=1548782699&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.4: 5.4.2, 5.4.5, 5.4.9, 5.4.10, 5.4.11, 5.4.12, 5.4.15, 5.4.16</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-01-31T08:40:05+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-7</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-7&amp;rev=1548952805&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.4: 5.4.17, 5.4.18, 5.4.19 (answer for $\hat{\theta_1}$ and $\hat{\theta_2}$ only), 5.4.20, 5.4.22</description>
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        <dc:date>2019-02-03T11:07:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-8</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-8&amp;rev=1549220876&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.5: 5.5.1, 5.5.2, 5.5.3, 5.5.5

Problem Set # 2 (due Friday, 8 February):

Problems 5.3.2, 5.4.12, 5.4.20, 5.4.22</description>
    </item>
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        <dc:date>2019-02-05T07:35:06+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-9</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-9&amp;rev=1549380906&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.6: 5.6.1, 5.6.4, 5.6.5, 5.6.6, 5.6.7(a)</description>
    </item>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-02-07T08:14:57+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-10</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-10&amp;rev=1549556097&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 5.7: 5.7.2, 5.7.3(a)</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-02-14T09:21:32+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-11</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-11&amp;rev=1550164892&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 6.2: 6.2.1, 6.2.2, 6.2.3, 6.2.4, 6.2.5, 6.2.7(a), 6.2.8, 6.2.10, 6.2.11

Find $p$-values for all hypothesis tests.</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-02-17T12:18:46+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-12</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-12&amp;rev=1550434726&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 6.3: 6.3.1, 6.3.2, 6.3.3, 6.3.6

Section 6.4: 6.4.1, 6.4.3, 6.4.4, 6.4.5, 6.4.8

Find $p$-values for all hypothesis tests.</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-02-19T10:34:58+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-13</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-13&amp;rev=1550601298&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 6.3: 6.3.9 (use R to plot the power curve)

Section 6.4: 6.4.12, 6.4.13, 6.4.18, 6.4.19, 6.4.23 (use R to plot the power curve)</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-02-21T09:18:50+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-14</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-14&amp;rev=1550769530&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Suppose $X_1, X_2, \ldots, X_n$ is a random sample from an exponential distribution with probability density function
\[
f(x \ ; \ \lambda) = 
\begin{cases}
\lambda e^{-\lambda x},&amp;\text{if } x &gt; 0, \\
0,&amp;\text{otherwise}.
\end{cases}
\]
Consider the hypotheses $H_0 : \lambda = \lambda_0$ and $H_1 : \lambda = \lambda_1$ and a significance level $\alpha$.

	*  Show that if $\lambda_0 &lt; \lambda_1$, then the test given by the Neyman-Pearson lemma is equivale…</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-15&amp;rev=1552308980&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-03-11T05:56:20+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-15</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-15&amp;rev=1552308980&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 6.5: 6.5.1, 6.5.2, 6.5.3, 6.5.5, 6.5.6

Problem Set # 3 (due Friday, 1 March):

Problems 6.2.4, 6.2.10, 6.3.2, 6.4.4

Note: Use R to find $p$-values for 6.2.4, 6.2.10, and 6.3.2, and to plot the power curve in 6.4.4. Print out the power curve to hand in.</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-16&amp;rev=1551192036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-02-26T06:40:36+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-16</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-16&amp;rev=1551192036&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 4.6: 4.6.5, 4.6.7, 4.6.9

Section 7.3: 7.3.2</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-17&amp;rev=1551371897&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-02-28T08:38:17+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-17</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-17&amp;rev=1551371897&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 7.3: 7.3.4, 7.3.5, 7.3.8, 7.3.11</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-18&amp;rev=1552157757&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-03-09T10:55:57+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-18</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-18&amp;rev=1552157757&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 7.4: 7.4.7, 7.4.8, 7.4.10, 7.4.11, 7.4.17, 7.4.20, 7.4.21, 7.4.22

Problem Set # 4 (due Friday, 15 March):

Problems 6.5.2, 6.5.5, 7.3.2, 7.3.4</description>
    </item>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-03-12T11:24:58+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-19</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-19&amp;rev=1552415098&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 7.5: 7.5.9(a), 7.5.10, 7.5.15, 7.5.16, 7.5.17</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-20&amp;rev=1552655171&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-03-15T06:06:11+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-20</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-20&amp;rev=1552655171&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 9.2: 9.2.1, 9.2.2, 9.2.3, 9.2.4, 9.2.5, 9.2.6, 9.2.7, 9.2.8, 9.2.9, 9.2.15

Section 9.5: 9.5.1, 9.5.2</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-03-21T08:48:38+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-21</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-21&amp;rev=1553183318&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 9.3: 9.3.1, 9.3.2, 9.3.3, 9.3.4, 9.3.5, 9.3.7

Section 9.5: 9.5.6, 9.5.7</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-03-24T07:49:59+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-22</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-22&amp;rev=1553438999&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 9.4: 9.4.1, 9.4.2, 9.4.3, 9.4.4, 9.4.5, 9.4.6, 9.4.7, 9.4.8, 9.4.9

Section 9.5: 9.5.9, 9.5.10, 9.5.12</description>
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    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-23&amp;rev=1553871530&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-03-29T07:58:50+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-23</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-23&amp;rev=1553871530&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 10.3: 10.3.2, 10.3.3, 10.3.4, 10.3.5, 10.3.6, 10.3.7, 10.3.8, 10.3.9, 10.3.10</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-24&amp;rev=1553789480&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-03-28T09:11:20+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-24</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-24&amp;rev=1553789480&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 10.4: 10.4.1, 10.4.2, 10.4.3, 10.4.4, 10.4.7, 10.4.8, 10.4.9, 10.4.13

Also:

	*  The file sat.txt has a column labeled satv containing the SAT verbal scores for 271 students. Is it reasonable to assume that these data come from a normal distribution?</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-04-07T09:04:49+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-25</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-25&amp;rev=1554653089&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 10.5: 10.5.1, 10.5.2, 10.5.3, 10.5.4, 10.5.5, 10.5.6, 10.5.7, 10.5.8, 10.5.9, 10.5.10

Problem Set # 5 (due Friday, 5 April):

Problems 9.3.2, 9.4.2, 10.3.10, 10.4.4

For any hypothesis tests, state the hypotheses, the form of the test statistic, the observed value of the test statistic, the $p$</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-04-04T07:54:35+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-26</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-26&amp;rev=1554389675&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 11.2: 11.2.1, 11.2.2, 11.2.3, 11.2.7, 11.2.9, 11.2.13</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-27&amp;rev=1554654350&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-04-07T09:25:50+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-27</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-27&amp;rev=1554654350&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Problem Set # 6 (due Friday, 12 April):

Problems 10.5.8, 11.2.2, and:

The file pearson.txt contains data from Karl Pearson&#039;s study of heights of fathers and sons. The column labeled Father contains the heights of the fathers. Is it reasonable to assume that these data come from a normal distribution?$p$</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2019-04-09T12:12:15+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-28</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-28&amp;rev=1554837135&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 11.3: 11.3.1, 11.3.2, 11.3.3, 11.3.8, 11.3.9</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-29&amp;rev=1554995397&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-04-11T08:09:57+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-29</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-29&amp;rev=1554995397&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 11.3: 11.3.16, 11.3.17, 11.3.18, 11.3.19, 11.3.20</description>
    </item>
    <item rdf:about="https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-30&amp;rev=1556040666&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2019-04-23T10:31:06+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>math-341:m341-s19-hw:hw-30</title>
        <link>https://dananne.org/dw/doku.php?id=math-341:m341-s19-hw:hw-30&amp;rev=1556040666&amp;do=diff</link>
        <description>Mathematics 341 - Spring 2019

Homework

Section 12.2: 12.2.1, 12.2.2, 12.2.3, 12.2.4, 12.2.5

Section 12.3: 12.3.1, 12.3.2, 12.3.3, 12.3.4</description>
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