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a. Is there evidence that the population mean amount is different from a grade of 200? (Use a 0.10 level of significance.) State the null and alternative hypotheses. \[ \begin{array}{l} H_{0}: \mu=200 \\ H_{1}: \mu=200 \end{array} \] Identify the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is (Round to four decimal places as needed.) State the conclusion. Do not reject \( \mathrm{H}_{0} \). There is insufficient evidence to conclude the population mean amount is different from a grade of 200. b. Determine the p -value and interpret its meaning. The p -value is (Round to four decimal places as needed.)

          a. Is there evidence that the population mean amount is different from a grade of 200? (Use a 0.10 level of significance.)
State the null and alternative hypotheses.
\[
\begin{array}{l}
H_{0}: \mu=200 \\
H_{1}: \mu=200
\end{array}
\]
Identify the critical value(s).
The critical value(s) is(are)
(Round to four decimal places as needed. Use a comma to separate answers as needed.)
Determine the test statistic.
The test statistic is
(Round to four decimal places as needed.)
State the conclusion.
Do not reject \( \mathrm{H}_{0} \). There is insufficient evidence to conclude the population mean amount is different from a grade of 200.
b. Determine the p -value and interpret its meaning.
The p -value is
(Round to four decimal places as needed.)

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a is there evidence that the population mean amount is different from a grade of 200 use a 010 level of significance state the null and alternative hypotheses beginarrayl h0 mu200 h1 mu200 33217

Added by Michelle Z.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jon Southam

04/18/2024

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a. Is there evidence that the population mean amount is different from a grade of 200? (Use a 0.10 level of significance.) State the null and alternative hypotheses. \[ \begin{array}{l} H_{0}: \mu=200 \\ H_{1}: \mu=200 \end{array} \] Identify the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is (Round to four decimal places as needed.) State the conclusion. Do not reject \( \mathrm{H}_{0} \). There is insufficient evidence to conclude the population mean amount is different from a grade of 200. b. Determine the p -value and interpret its meaning. The p -value is (Round to four decimal places as needed.)

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Transcript

00:01 A test statistic is negative 0 .9516.

00:06 That's our test statistic.

00:07 And we're testing against the null hypothesis that the population mean is different.

00:14 It's equal to 200 against the alternative, mean is not.

00:20 The keyword there is different from.

00:26 And so this is a two -tailed test because we're testing not equal to zero.

00:31 It means we're on either side of zero.

00:34 Two tails.

00:35 Two tailed test.

00:38 And because our distribution, t or z is going to be, well, z is normal, t is approximately normal.

00:45 We have this tail over here on the left, this tail over here on the right.

00:47 So it's two tails.

00:50 And we're not told in the prompt exactly what test statistic it is, but we'll do both just so we're clear.

00:57 So you know, regardless, in either case.

01:00 So let's just say it's z.

01:01 Let's say it's your z distribution.

01:04 What you can do is use your this spreadsheet function norm sdist and you put in that z score, that test statistic, i guess it's not telling us which one it is, and you get this number.

01:17 But this is only the one tailed value.

01:19 So this would be like, here's your negative 0 .956...

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