To study the effect of soothing music on a person's blood pressure, a random sample of 440 adults were randomly assigned into two groups each of size 220. Sample 1 (group 1) listened to soothing music for 5 minutes prior to having their blood pressure taken, while sample (group 2) sat in silence. The mean and standard deviation of the systolic blood pressure from sample 1 was 114.5 and 39.18 respectively. The mean and standard deviation of the systolic blood pressure from sample 2 was 122.8 and 39.18 respectively. Suppose we want to test, at the 1% level of significance whether soothing music significantly lowers systolic blood pressure. Let μ1 denote the mean systolic blood pressure for adults after listening to soothing music and let μ2 denote the the mean systolic blood pressure for adults after sitting in silence. State the null and alternative hypothesis for this test?Question 4Select one:a.H0:μ1−μ2=0 vs Ha:μ1−μ2>0𝐻0:𝜇1−𝜇2=0 vs 𝐻𝑎:𝜇1−𝜇2>0 b.H0:μ1−μ2=1 vs Ha:μ1−μ2<1𝐻0:𝜇1−𝜇2=1 vs 𝐻𝑎:𝜇1−𝜇2<1 c.H0:μ1−μ2=0 vs Ha:μ1−μ2≠0𝐻0:𝜇1−𝜇2=0 vs 𝐻𝑎:𝜇1−𝜇2≠0 d.H0:μ1−μ2=0 vs Ha:μ1−μ2<0

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?

Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?

Suppose that the mean systolic blood pressure for women over age seventy is 132 mmHg (millimeters of mercury), with a standard deviation of 9 mmHg. Suppose that the blood pressures are normally distributed. Complete the following statements.(a) Approximately 68% of women over seventy have blood pressures between mmHg and mmHg.(b) Approximately of women over seventy have blood pressures between 105 mmHg and 159 mmHg.

A pharmaceutical company has developed a new drug that is believed to reduce blood pressure more effectively than the existing treatment. To test the effectiveness of the new drug, a random sample of 50 patients with high blood pressure was selected. After taking the new drug for a month, the mean reduction in blood pressure for these patients was found to be 8.5 mm Hg with a standard deviation of 3.2 mm Hg. The company claims that the new drug reduces blood pressure by more than 7 mm Hg. Test this claim at the 5% level of significance.