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In: Statistics and Probability

In fall 2019, students in the 2 p.m. section of my Data Analysis class had an...

In fall 2019, students in the 2 p.m. section of my Data Analysis class had an average height of 66.6 inches, while the average height in the 5 p.m. section was 64.6 inches. Are the average heights of the two sections significantly different at 10% level of significance? Assume the the standard deviation of both populations are unknown but equal. Here are the data:

2 pm 5 pm

69 68

70 72

66 67

63 68

68 69

70 67

69 61

67 59

62 62

63 61

76 69

59 66

62 62

62 62

75 61

62 70

72

63

a) What is the appropriate test you can use to test the claim?

b) What are the null and alternative hypotheses for this test?

c) What is your conclusion?

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