Question

You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (a) What is the value of the test statistic? (Use X1-x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value (d) At α-0.05, what is your conclusion? Do not Reject Ho . There is insufficient evidence to conclude that μι-μ' 0. Do not Reject H0. There is sufficient evidence to conclude that μι-μ' 0. Reject Ho. There is insufficient evidence to conclude that μ1-μ2 # 0 O O O Reject Ho. There is sufficient evidence to conclude that μ1-12 .

Answer 1

Here we use TI-83 calculator .

Follow the path :

STAT > TESTS > 4 : 2 - SampTTEST

Select Input : Stats and enter the values , select hypothesis. Pooled : No.

So we get the output as :

a) The test statistic is given by

t = 2.212

b) The degrees of freedom are

df = 68.94 69

c) P value = 0.0303

d)  

Here p value <  ( 0.05 )

Reject H0. There is sufficient evidence to conclude that .