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# Hypothesis testing and confidence intervals

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Assume that in a hypothesis test with null hypothesis H 0: mu = 14.0 at alpha = 0.05, that a value of 13.0 for the sample mean results in the null hypothesis being rejected. That corresponds to a confidence interval result of:

a) the 95% confidence interval for the mean contains the value 14.0
b) the 95% confidence interval for the mean does not contain the value 14.0
c) there is insufficient information as to if the 95% confidence interval for the mean does or does nto contain the value 13.0
d) the 0.05% confidence interval for the mean contains the value 13.0

https://brainmass.com/statistics/confidence-interval/hypothesis-testing-and-confidence-intervals-233554

#### Solution Preview

b) the 95% confidence interval for the mean does not contain the value 14.0

There is an exact correspondence between confidence intervals and ...

#### Solution Summary

This solution addresses the correspondence between hypothesis tests and confidence intervals.

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## One-Sample Hypothesis Test Confidence Intervals

One-Sample Hypothesis Test Confidence Intervals

Take a random sample and perform a t-test against a population mean (no time series for any parts of this project.) Test a hypothesis about a population mean. Besides the instructions above, explain what assumptions you made. Note: n must be between 15 to 20! Use no other sample sizes.

Use the same data as 1a and develop a 90% confidence interval and a 95% confidence interval for the population mean. Contrast this to 1a. What additional information or insight did this provide you over the traditional hypothesis testing.

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