A statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken. This test was taken by a large group of students, and the average score was 71.8. A random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 71.8. Use a two-sided alternative and a 10% significance level. 81 72 62 69 79 97 77 Q 74 What are the null and alternative hypotheses for this test? Ο Α. Η: με 71.8 H₁: μ> 71.8 OC. H: 271.8 H: μ < 71.8 OA. Reject Ho if For this test at the significance level x with sample mean x, hypothesized mean Ho, sample standard deviations, and sample size n, what is the form of the decision rule? OB. Reject H, if OC. Reject Ho if x-Ho s/√√n X-Ho s/√√n x-Po s/√n X-Ho s/√√n <- - tn -1,α >In-1,0 X Ho -n-1,a/2 or reject H, if s/√n -> İn-1,α/2 Determine the value(s) for -tn-1.a. tn-1,a or ±tn-1,a/2 as appropriate for this test. State the conclusion of this test. reject the null hypothesis. There not reject OB. Ho: p=71.8 H₁: μ*71.8 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. (Round to two decimal places as needed.) O D. Ho: μ*71.8 H₁: p=71.8 is is not sufficient evidence that the population mean prediction is not equal to 71.8.
A statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken. This test was taken by a large group of students, and the average score was 71.8. A random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 71.8. Use a two-sided alternative and a 10% significance level. 81 72 62 69 79 97 77 Q 74 What are the null and alternative hypotheses for this test? Ο Α. Η: με 71.8 H₁: μ> 71.8 OC. H: 271.8 H: μ < 71.8 OA. Reject Ho if For this test at the significance level x with sample mean x, hypothesized mean Ho, sample standard deviations, and sample size n, what is the form of the decision rule? OB. Reject H, if OC. Reject Ho if x-Ho s/√√n X-Ho s/√√n x-Po s/√n X-Ho s/√√n <- - tn -1,α >In-1,0 X Ho -n-1,a/2 or reject H, if s/√n -> İn-1,α/2 Determine the value(s) for -tn-1.a. tn-1,a or ±tn-1,a/2 as appropriate for this test. State the conclusion of this test. reject the null hypothesis. There not reject OB. Ho: p=71.8 H₁: μ*71.8 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. (Round to two decimal places as needed.) O D. Ho: μ*71.8 H₁: p=71.8 is is not sufficient evidence that the population mean prediction is not equal to 71.8.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken. This test was taken by a large group of students, and the average score
was 71.8. A random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that
the population mean prediction would be 71.8. Use a two-sided alternative and a 10% significance level.
81
72
62
69
79
97
77 Q
74
What are the null and alternative hypotheses for this test?
Ο Α. Η: με 71.8
H₁: μ> 71.8
OC. H: 271.8
H: μ < 71.8
OA. Reject Ho if
For this test at the significance level x with sample mean x, hypothesized mean Ho, sample standard deviations, and sample size n, what is the form of the decision rule?
OB. Reject H, if
OC. Reject Ho if
x-Ho
s/√√n
X-Ho
s/√√n
x-Po
s/√n
X-Ho
s/√√n
<-
- tn -1,α
>In-1,0
X Ho
-n-1,a/2 or reject H, if
s/√n
-> İn-1,α/2
Determine the value(s) for -tn-1.a. tn-1,a or ±tn-1,a/2 as appropriate for this test.
State the conclusion of this test.
reject the null hypothesis. There
not reject
OB. Ho: p=71.8
H₁: μ*71.8
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Calculate the decision statistic.
(Round to two decimal places as needed.)
O D. Ho: μ*71.8
H₁: p=71.8
is
is not
sufficient evidence that the population mean prediction is not equal to 71.8.
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