There are 5 parts to this question:

1. Data:

Patient,Before,After 1,157,276 2,218,115 3,225,243 4,362,251 5,376,253 6,417,165 7,432,305

Increased blood vessel formulation is a predictive factor in survival for a certain disease. One treatment is stem cell transplantation with the patient's own stem cells. The accompanying data table represents the microvessel density for patients who had a complete response to the stem cell transplant. The measurements were taken immediately prior to the stem cell transplant and at the time the complete response was determined. Complete parts (a) through (d) below. Click the icon to view the data table. a. At the 0.01 level of significance, is there evidence that the mean microvessel density is higher before the stem cell transplant than after the stem cell transplant? Let py be the mean density before the transplant and let u2 be the mean density after the transplant. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: HD #0 (where HD = H1 - H2) O B. Ho: HD SO (where HD = H1 - H2) Hy : HD = 0 H1: HD >0 O C. Ho: HD = 0 (where HD = H1 - H2) OD. Ho: HD >0 (where HD = H1 - H2) Hy : HD # 0 H1 : HD SO O E. Ho: HD 20 (where HD = H1 - H2) OF. Ho: HD H2 Hy: H1 = H2A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 58 nonprofit organizations, the mean one-time gift donation in the past year was $80, with a standard deviation of $14. a. if you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75? b. Interpret the meaning of the p-value in this problem. a. State the null and alternative hypotheses. Choose the correct answer below. O A. Hops 75 O B. Ho:US 75 Hy:H = 80 Hy : # 75 O C. Hous 75 OD. Ho:H = 80 Hy :ul > 75 Hy :H # 80 O E. Hop #75 OF. Ho:H = 80 Hy :us 75 H1 :HI > 80According to a report from a business intelligence company, smartphone owners are using an average of 20 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 7. Complete parts (a) through (d) below. a. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 19.5 and 20.5? (Round to three decimal places as needed.)The annual per capita consumption of bottled water was 32.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.5 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 43 gallons of bottled water is. (Round to four decimal places as needed.)