Question

Consider the following hypothesis statement using alpha =0.01and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b.

Upper H 0 : mu1 - mu 2= 0

x overbar 1= 116.5   x overbar 2 = 121.0

Upper H 1 : mu 1 - mu 2 not equals 0

s 1 = 25.7 s 2 = 15.4

n 1 = 14

n 2 = 21

a. Calculate the appropriate test statistic and interpret the result.

The test statistic is

negative 0.60

The critical​ value(s) is(are)

-2.86 , 2.86

Because the test statistic falls within the critical​ value(s),do not reject the null hypothesis.

b. Identify the​ p-value from part a and interpret the result.

The​ p-value is.....??????

.

​(Round to three decimal places as​ needed.)

Answer 1

Here n₁=14, n₂​​​=21

Here the sample sizes are small

so, we need to use the t- test

to find the p value for the test statistic t = -0.6

we have to use the t- tables

when we use the t - tables to find the p-value we will get the range for the p-value

we can not get the exact p-value from t-tables

so we have to use the software to find the exact p-value

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