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Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​...

Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x1= 19, s1= 3, n1= 12, x2= 15, s2= 2, n2=13

a. What are the correct hypotheses for a​ left-tailed test?

b. Compute the test statistic.

c. Determine the​ P-value.

d. The 90​% confidence interval is from _____ to _______ ?

Math   Statistics-And-Probability   
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Answer #1

The pooled estimate of the standard deviation is ,

a. Since , the test is left tailed test.

Hypothesis : Vs  

b. The test statistic is ,

c. p-value = ; From excel "=TDIST(3.9524,23,1)"

d. The 90% confidence interval is ,

; From excel "=TINV(0.1,23)"

Therefore , the 9015 confidence interval is from 2.2654 to 5.7346

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