The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. a....

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Statistics

The following random sample was selected from a normaldistribution: 4, 6, 3, 5, 9, 3.
a. Construct a 90% confidence interval for the populationmean.
b. Construct a 95% confidence interval for the populationmean.
c. Construct a 99% confidence interval for the populationmean.
d. Assume that the sample mean x and sample standard deviation sremain exactly the same as those you just calculated but are basedon a sample of n = 25 observations rather than n = 6 observations.Repeat parts aâ€“c. What is the effect of increasing the sample sizeon the width of the confidence intervals?
e. Use Rejection region to test the null hypothesis that themean of the population is 6 against the alternative hypothesis,?<6. Use ? = .05.
f. Use p-Value to test the null hypothesis that the mean of thepopulation is 6 against the alternative hypothesis, ? â‰ 6. Use ? =.05.

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aFrom the given data the following statistics arecalculatedn 6 5s 22804df 6 1 5 010From Table critical values of t 2015Confidence IntervalSoAnswer is3124 6876bFrom the given data the following statistics arecalculatedn 6 5s 22804df 6 1 5 005From Table critical values of t See Answer

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