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Hypothesis Test to test - t - statistic two Sample Hypothesi

Question :
A double blind study was carried out to determine whether a certain calcium supplement reduces systolic blood pressure in adult black males. One group of 16 took the calcium supplement and a control group of 14 received a placebo. The summary statistics for the decrease in blood pressure were as follows:

Group n Mean S

(Received calcium) 16 3.50 9.50

(Received placebo) 14 - 0.52 7.42

In other words, the calcium group showed a drop in blood pressure and the placebo group showed a small increase. Answer parts (a) - (e) in regard to testing whether or not the calcium supplement reduces blood pressure.

(a) State the appropriate null and alternative hypothesis for the test.
(b) Compute the t-statistic. Show what formula you are using.
(c) Between what two values does the p-value fall ?
(d) Is the test significant at the 5% level ? At 1% level ? Explain your
Find a 90% confidence interval for the difference in mean blood pressures for the calcium group and the placebo group
For the detailed description of the question, please see the attached question file.

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Solution Preview

Let Meu1 denote the mean decrease in blood pressure due to calcium and Meu2 denote the mean decrease ...

Solution Summary

Null Hypothesis is no significant difference in effect due to Calcium Supplement
Alternative Hypothesis the calcium supplement has significant effect in decreasing
blood pressure
Therefore, 0.10 < P < 0.20
Hence we conclude that the calcium supplement does not have a significant
effect in reducing blood pressure

For detailed step by step solution, please download the attached solution file.
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