You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 25 night students and 27 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal (So do not pool the variances) and that GPAs are normally distributed. Give answers to 4 decimal places.GPA-NightGPA-Day3.343.443.252.513.273.343.122.822.53.283.172.842.952.793.773.173.353.483.073.393.393.13.422.833.123.263.672.752.933.793.293.133.032.873.222.913.183.012.673.153.143.023.363.363.712.812.823.143.073.35 3.48 3.12What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: H1: Based on the hypotheses, find the following:Test Statistic=p-value=The correct decision is to:The correct summary would be:

The question is based on hypo. testing of a difference between two popl. means. Given data : GPA…

Answered: You are testing the claim that the mean…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 25 night students and 27 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal (So do not pool the variances) and that GPAs are normally distributed. Give answers to 4 decimal places.

GPA-Night	GPA-Day
3.34	3.44
3.25	2.51
3.27	3.34
3.12	2.82
2.5	3.28
3.17	2.84
2.95	2.79
3.77	3.17
3.35	3.48
3.07	3.39
3.39	3.1
3.42	2.83
3.12	3.26
3.67	2.75
2.93	3.79
3.29	3.13
3.03	2.87
3.22	2.91
3.18	3.01
2.67	3.15
3.14	3.02
3.36	3.36
3.71	2.81
2.82	3.14
3.07	3.35
	3.48
	3.12

What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.

H₀:

H₁:

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to:

The correct summary would be:

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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