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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=23n1=23 with a mean of ¯x1=59.5x¯1=59.5 and a standard deviation of s1=20.7s1=20.7 from the first population. You obtain a sample of size n2=24n2=24 with a mean of ¯x2=76.1x¯2=76.1 and a standard deviation of s2=5.9s2=5.9 from the second population. What is the test statistic for this sample?test statistic =  Round to 3 decimal places. What is the p-value for this sample? For this calculation, use .p-value =   Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than α

You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=23n1=23 with a mean of ¯x1=59.5x¯1=59.5 and a standard deviation of s1=20.7s1=20.7 from the first population. You obtain a sample of size n2=24n2=24 with a mean of ¯x2=76.1x¯2=76.1 and a standard deviation of s2=5.9s2=5.9 from the second population. What is the test statistic for this sample?test statistic =  Round to 3 decimal places. What is the p-value for this sample? For this calculation, use .p-value =   Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than α

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2

You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=23n1=23 with a mean of ¯x1=59.5x¯1=59.5 and a standard deviation of s1=20.7s1=20.7 from the first population. You obtain a sample of size n2=24n2=24 with a mean of ¯x2=76.1x¯2=76.1 and a standard deviation of s2=5.9s2=5.9 from the second population.

  1. What is the test statistic for this sample?

    test statistic =  Round to 3 decimal places.

  2. What is the p-value for this sample? For this calculation, use .

    p-value =   Round to 4 decimal places.

  3. The p-value is...
    • less than (or equal to) αα
    • greater than α
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