Question

The following data are collected from virtual people living on an Island showing the systolic and diastolic blood pressure (measured in mmHg) for 30 men and 30 women.

Serial number	Male	Systolic	Diastolic	Female	Systolic	Diastolic
1	M	157.8	91.0	F	157.4	90.3
2	M	160.5	90.7	F	154.8	89.4
3	M	157.5	88.1	F	155.4	91.8
4	M	169.4	94.3	F	168.4	94.2
5	M	160.1	90.2	F	163.0	90.5
6	M	160.5	92.9	F	158.2	90.8
7	M	147.5	87.9	F	104.3	61.5
8	M	156.5	90.2	F	99.8	64.6
9	M	154.9	89.2	F	102.4	65.2
10	M	153.7	91.0	F	114.2	76.5
11	M	170.4	94.9	F	94.1	58.7
12	M	163.0	90.3	F	101.7	66.6
13	M	158.2	90.7	F	108.7	61.8
14	M	157.5	91.1	F	104.6	41.2
15	M	160.2	90.7	F	123.4	72.3
16	M	155.8	87.7	F	93.5	61.1
17	M	166.7	93.4	F	89.6	56.1
18	M	159.1	90.0	F	112.8	62.2
19	M	160.3	93.1	F	107.2	48.3
20	M	150.3	87.8	F	116.1	62.1
21	M	112.3	70.6	F	181.3	102.5
22	M	125.5	89.7	F	100.0	61.7
23	M	115.6	65.4	F	127.0	53.8
24	M	136.2	90.5	F	107.5	74.9
25	M	143.3	97.1	F	116.3	67.0
26	M	116.7	64.7	F	97.8	71.1
27	M	123.9	78.9	F	155.7	64.1
28	M	124.8	69.0	F	106.6	85.8
29	M	131.9	87.2	F	110.4	59.6
30	M	153.9	95.2	F	105.0	70.3

Perform the following analysis based on the following questions

For males, what is the average systolic blood pressure level?

Is the average systolic blood pressure for males greater than 140?

1. Define the parameter and state the hypotheses.

2. State and check the assumptions for the significance test for the population mean systolic blood pressure level (for males). Make sure to explain why the assumptions are met or not. (Hint: A check mark is not sufficient.) (2 points)

3. State the test statistic and the p-value. Include the output from the statistical software package. (2 points)

4. Interpret the p-value and make a conclusion.

5. State and check the assumptions for the 95% confidence interval for the population mean systolic blood pressure level (for males). Make sure to explain why the assumptions are met or not. (Hint: A check mark is not sufficient.) (2 points)

6. State and interpret the interval. Include the output from the statistical software package. (2 points)

Answer 1