Six randomly selected students took an IQ test A, and the next day they took a very similar IQ test B. Their scores are shown in the table below Student 1 2 3 4 5 6 Test A 121 93 71 119 104 100 Test B 121 91 72 122 108 100 Let d = Test A score - Test B score and denote by μd the mean of the differences. It was already calculated from the above table that d¯ = −1 and sd = 2.19. Assume that the scores in Test A and B are normally distributed. 1. The standardized test statistic is closest to 2. Find the rejection region and state your decision at α = .05. 3. Use calculator program to find the 99% confidence interval for μd

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Six randomly selected students took an IQ test A, and the next day they took a very similar IQ test B. Their scores are shown in the table below

Student 1 2 3 4 5 6
Test A 121 93 71 119 104 100
Test B 121 91 72 122 108 100

Let d = Test A score - Test B score and denote by μd the mean of the differences. It was already calculated from the above table that d¯ = −1 and sd = 2.19. Assume that the scores in Test A and B are normally distributed.

1. The standardized test statistic is closest to

2. Find the rejection region and state your decision at α = .05.

3. Use calculator program to find the 99% confidence interval for μd
 
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