You wish to test the following claim (��) at a significance level of �=0.002. ��:�1=�2 ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data.Sample #1Sample #250.277.287.16564.258.47860.572.653.151.275.664.293.668.663.871.974.974.554.6 59.261.890.173.655.462.668.671.667.987.351.985.281.376.35459.659.688.650.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =

Step 1: Determine the type of statistical test to be used for the data. There are two samples. Both…

Answered: You wish to test the following claim…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

You wish to test the following claim (��) at a significance level of �=0.002.

��:�1=�2
��:�1≠�2

You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data.

Sample #1

Sample #2

50.2	77.2	87.1
65	64.2	58.4
78	60.5	72.6
53.1	51.2	75.6
64.2	93.6	68.6
63.8	71.9	74.9
74.5	54.6

59.2	61.8	90.1
73.6	55.4	62.6
68.6	71.6	67.9
87.3	51.9	85.2
81.3	76.3	54
59.6	59.6	88.6
50.8

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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