ccording to a report published three years ago by the National Center for Education Statistics, the average time required to complete a bachelor's degree is 55 months. A researcher suspects that the it now takes students longer than 55 months, on average, to complete a bachelor's degree. A recent, random sample of 217 recent college graduates revealed that the average time to complete a bachelor's degree was 56.1 months, with a standard deviation of 6.8 months. Using a significance level of 5%, is there sufficient evidence to conclude that the average time required to complete a bachelor's degree is greater than 55 months? Use the p-value method. State the null and alternative hypothesis for this test. H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test? The standard normal (zz) distribution should be used The Student's tt distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. p-value < 0.0005 0.0005 < p-value < 0.005 0.005 < p-value < 0.01 0.01 < p-value < 0.025 0.025 < p-value < 0.05 0.05 < p-value < 0.10 p-value > 0.10 Determine the appropriate conclusion for this hypothesis test. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months. The sample data provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed. The sample data provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months. The sample data do not provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed

ccording to a report published three years ago by the National Center for Education Statistics, the average time required to complete a bachelor's degree is 55 months. A researcher suspects that the it now takes students longer than 55 months, on average, to complete a bachelor's degree. A recent, random sample of 217 recent college graduates revealed that the average time to complete a bachelor's degree was 56.1 months, with a standard deviation of 6.8 months. Using a significance level of 5%, is there sufficient evidence to conclude that the average time required to complete a bachelor's degree is greater than 55 months? Use the p-value method. State the null and alternative hypothesis for this test. H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test? The standard normal (zz) distribution should be used The Student's tt distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. p-value < 0.0005 0.0005 < p-value < 0.005 0.005 < p-value < 0.01 0.01 < p-value < 0.025 0.025 < p-value < 0.05 0.05 < p-value < 0.10 p-value > 0.10 Determine the appropriate conclusion for this hypothesis test. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months. The sample data provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed. The sample data provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months. The sample data do not provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed

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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According to a report published three years ago by the National Center for Education Statistics, the average time required to complete a bachelor's degree is 55 months.

A researcher suspects that the it now takes students longer than 55 months, on average, to complete a bachelor's degree. A recent, random sample of 217 recent college graduates revealed that the average time to complete a bachelor's degree was 56.1 months, with a standard deviation of 6.8 months.

Using a significance level of 5%, is there sufficient evidence to conclude that the average time required to complete a bachelor's degree is greater than 55 months? Use the p-value method.

State the null and alternative hypothesis for this test.

H0:H0:

H1:H1:

Determine if this test is left-tailed, right-tailed, or two-tailed.

right-tailed
two-tailed
left-tailed

Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test?

The standard normal (zz) distribution should be used
The Student's tt distribution should be used

Determine the test statistic for the hypothesis test. Round the solution to four decimal places.

Determine the p-value (range) for the hypothesis test.

p-value < 0.0005
0.0005 < p-value < 0.005
0.005 < p-value < 0.01
0.01 < p-value < 0.025
0.025 < p-value < 0.05
0.05 < p-value < 0.10
p-value > 0.10

Determine the appropriate conclusion for this hypothesis test.

The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months.
The sample data provide sufficient evidence to reject the alternative hypothesis that the average time required to complete a bachelor's degree is greater than 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed.
The sample data provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely greater than 55 months.
The sample data do not provide sufficient evidence to reject the null hypothesis that the average time required to complete a bachelor's degree is 55 months and thus we conclude that the average time required to complete a bachelor's degree is likely 55 months, as claimed

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