Please answer all questions. The following data were obtained from an experiment

Question

Please answer all questions. The following data were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as a result of a salt-free diet for two weeks. Construct a 98% confidence interval for the mean difference (After - Before) in blood pressure. Interpret your result. A college spokesman states that the mean commuting time of students is about 15 minutes. A group of college students suspects that the average is higher. Data from a random sample of 64 students is collected. The sample mean for these 64 students is 22 minutes with a sample standard deviation of 19.6 min. Perform a test of hypothesis to determine whose claim is supported by the data. Use alpha = 0.05.

Explanation / Answer

6)

Hypothesis:
Ho : mu = 15
Ha : mu > 15

Test statistic:

x = 22 , n = 64 , s = 19.6

z = ( x - mean) / (s/sqrt(n))
= ( 22 - 15) /( 19.6 / sqrt(64))
= 2.857

P value is calculated using z = 2.857
p value = 0.002138.

We reject the null hypothesis at 0.05 significance level

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