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Hypothesis testing standard deviation with one sample. Minitab

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Hypothesis testing with one sample
Testing a Claim About a Standard Deviation or Variance

Systolic Blood Pressure for Women: Systolic blood pressure results from contraction of the heart. Based on past results from the National Health Survey, it is claimed that women have systolic blood pressures with a mean and standard deviation of 130.7 and 23.4, respectively. Use the systolic blood pressures of women listed in the below Data Set to test the claim that the sample comes from a population with a standard deviation of 23.4.

Health Exam Results: Female SBP
104
99
102
114
94
101
108
104
123
93
89
112
107
116
181
98
100
127
107
116
97
155
106
110
105
118
133
113
113
107
95
108
114
104
125
124
92
119
93
106

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Solution Preview

One-Sample Z: C1

Test of mu = 130.7 vs not = 130.7
The assumed standard deviation = 23.4

Variable N Mean StDev SE Mean ...

Solution Summary

Hypothesis testing for standard deviation with one sample on Minitab is analyzed.

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Similar Posting

Hypothesis Testing and Confidence Intervals with Minitab

Your manager has speculated the following:

a. the average (mean) annual income was less than $50,000,
b. the true population proportion of customers who live in an urban area exceeds
40%,
c. the average (mean) number of years lived in the current home is less than 13
years,
d. the average (mean) credit balance for suburban customers is more than
$4300.

1 - Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager's belief in each case a.-d. In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book with ? = .05, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.

2 - Follow this up with computing 95% confidence intervals for each of the variables described in a.-d., and again interpreting these intervals.

3 - Write a report to your manager about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical.

Requirements:
A- Summary Report (about 1 paragraph on each of the speculations a.-d.)
B- Appendix with all of the steps in hypothesis testing for each speculation a.-d. as well as the confidence intervals, and including all Minitab output

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