QUESTION #1

The American Automobile Association wonders whether the average daily cost for meals and lodging for vacationing in Texas is higher than that in North Carolina. The table below shows the results of a survey of vacationers in each state. The two samples are independent. Texas North Carolina n1 = 40 50 x1 = $220 x2 = $205 $1 = $30 82 = 25 One wishes to test Ho : #1 - 12 = 0 Ha : /1 - 12 >0. Which of the following is the rejection region for the above test with significance level of .05?The following samples are independently selected from two populations which follow the normal distributions with equal variance. Sample 1 Sample 2 n1 = 10 n2 = 10 x1 = 20 x2 = 18 $1 = 5 $2 = 4.5 One wishes to test the following hypotheses Ho : /1 - 12 = 0 Ha : /1 - 12 > 0. Find the rejection region for the above test with significance level of .05.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 2 3 4 5 6 Test A 121 93 71 119 104 100 Test B 121 91 72 122 108 100 The difference in the IQ scores (Test A- Test B) for this sample results in d = -1 and S = 2.19 . Assume that the reading speeds are approximately normally distributed. On average, do people score better on the second test than in the first test they take? One wishes to test Ho : Ha =0 Ha : Ha