1.The display provided from technology available below results from using data for a smartphonecarrier's data speeds at airports to test the claim that they are from a population having a mean less than 5.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

T-Test

<5.00

t=3.390350

p=0.000805

x=4.38

Sx=1.156584

n=

Identify the test statistic.(Round to two decimal places asneeded.)

Identify theP-value. (Round to three decimal places asneeded.)

2.A data set includes data from student evaluations of courses. The summary statistics are n=90, x=4.08, s=0.65. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

Determine the test statistic.(Round to two decimal places asneeded.)

Determine theP-value.(Round to three decimal places asneeded.)

3.In a test of the effectiveness of garlic for loweringcholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes(before minusafter) in their levels of LDL cholesterol(in mg/dL) have a mean of 0.7 and a standard deviation of 1.61. Use a 0.10 significance level to test the claim that with garlictreatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlictreatment? Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

Determine the test statistic.(Round to two decimal places asneeded.)

Determine theP-value.(Round to three decimal places asneeded.)

4.A group of students estimated the length of one minute without reference to a watch orclock, and the times(seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating oneminute?

70

81

42

64

45

26

63

64

65

49

62

68

90

92

65

Determine the test statistic.(Round to two decimal places asneeded.)

Determine theP-value.(Round to three decimal places asneeded.)