You wish to test the following claim (Ha) at a significance level of α=0.001. For the context of this problem, μd=PostTest−PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1 and μ2 are so that the differences are computed correctly.)       Ho:μd=0       Ha:μd≠0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 57.7 67.2 20.7 22.4 42.1 46.5 59.5 59.6 44.8 44.4 41 42.6 49.4 57.3 56.1 57.2 63.2 62.9 74.8 71.1 34.3 35.6 51.9 59.8 9.1 6 54.6 62.3 36.6 36.8 60.2 72.3 54.1 56.1 66.1 68.8 56.6 62.3 33.4 27.7 39.8 44.5 44.8 40.8 39.4 45 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... less than (or equal to) α   greater than α     This test statistic leads to a decision to... reject the null accept the null fail to reject the null

Suppose you have collected data on 1000 customers who visited your company's website last week. For each customer, the time spent on the page and the total amount of customer purchases during the visit were recorded. You want to explore the relationship between these two variables. What is the explanatory variable and what is the response variable? to. Explanatory: Time spent on the page Answer: Total amount of purchases b. It is not possible since neither explains c. Answer: Time spent on the page Explanatory: Total amount of purchases

A statistic teacher recorded the Math and Science test scores of twelve students from one section. Using 0.05 as the level of significance, is there a significant relationship between the test scores in Mathematics and Science? Student number Math Scores (X)   Science Scores (Y) 1 18 20 2 16 18 3 11 12 4 15 17 5 15 15 6 11 14 7 11 12 8 13 14 9 8 10 10 9 13 11 13 12 12 7 9

You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 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 (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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 P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…