A random sample of 171 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 4.08, and the sample standard deviation was 0.5. Test at the 10% significance level the null hypothesis that the population mean rating is at most 4 against the alternative that it is larger than 4. Click the icon to view the upper critical values of the Student's t distribution. What are the null and alternative hypotheses for this test? OA. H₂: H=4 H₁: μ#4 OC. Ho: H≤4 H₁: μ>4 O A. Reject H, if For this test at the significance level a with sample mean x, hypothesized mean Ho. sample standard deviations, and sample size n, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if x-Ho s/√n x-Ho s/√n x-Ho s/√n <-in-1,a <-tn-1,a/2 or reject Ho if >tn-la x-Ho s/√√n State the conclusion of this test. reject not reject X-Ho s/√n ->tn-1,α/2 Determine the value(s) for -tn-1.a. tn-1.a. or ±tn-1,a/2 as appropriate for this test. the null hypothesis. There (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.) OB. Ho: 24 H₁: μ<4 O D. Ho: H=4 Η: μ = 4.08 is is not a) Hence option (C) is correct choice b) Hence option (C) is correct choice C) Critical value = 1.29 sufficient evidence that the population mean is greater than 4.
A random sample of 171 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 4.08, and the sample standard deviation was 0.5. Test at the 10% significance level the null hypothesis that the population mean rating is at most 4 against the alternative that it is larger than 4. Click the icon to view the upper critical values of the Student's t distribution. What are the null and alternative hypotheses for this test? OA. H₂: H=4 H₁: μ#4 OC. Ho: H≤4 H₁: μ>4 O A. Reject H, if For this test at the significance level a with sample mean x, hypothesized mean Ho. sample standard deviations, and sample size n, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if x-Ho s/√n x-Ho s/√n x-Ho s/√n <-in-1,a <-tn-1,a/2 or reject Ho if >tn-la x-Ho s/√√n State the conclusion of this test. reject not reject X-Ho s/√n ->tn-1,α/2 Determine the value(s) for -tn-1.a. tn-1.a. or ±tn-1,a/2 as appropriate for this test. the null hypothesis. There (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.) OB. Ho: 24 H₁: μ<4 O D. Ho: H=4 Η: μ = 4.08 is is not a) Hence option (C) is correct choice b) Hence option (C) is correct choice C) Critical value = 1.29 sufficient evidence that the population mean is greater than 4.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:A random sample of 171 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely
important), health benefits as a job characteristic. The sample mean rating was 4.08, and the sample standard
deviation was 0.5. Test at the 10% significance level the null hypothesis that the population mean rating is at most 4
against the alternative that it is larger than 4.
Click the icon to view the upper critical values of the Student's t distribution.
What are the null and alternative hypotheses for this test?
OA. H₂: H=4
H₁: μ#4
OC. Ho: H≤4
H₁: μ>4
O A. Reject H, if
For this test at the significance level a with sample mean x, hypothesized mean Ho. sample standard deviations, and sample size n, what is the form of the decision rule?
OB. Reject Ho if
OC. Reject Ho if
x-Ho
s/√n
x-Ho
s/√n
x-Ho
s/√n
<-in-1,a
<-tn-1,a/2 or reject Ho if
>tn-la
x-Ho
s/√√n
State the conclusion of this test.
reject
not reject
X-Ho
s/√n
->tn-1,α/2
Determine the value(s) for -tn-1.a. tn-1.a. or ±tn-1,a/2 as appropriate for this test.
the null hypothesis. There
(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.)
OB. Ho: 24
H₁: μ<4
O D. Ho: H=4
Η: μ = 4.08
is
is not
a)
Hence option (C) is correct choice
b)
Hence option (C) is correct choice
C)
Critical value = 1.29
sufficient evidence that the population mean is greater than 4.
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