Question

Consider the following hypothesis statement using

alpha

equals0.05

and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.

Upper H 0 : mu 1 minus mu 2 equals 0

x overbar 1 equals 14.7

x overbar 2 equals 12.0

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

s 1 equals 2.7

s 2 equals 3.3

n 1 equals 20

n 2 equals 15

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

The test statistic is

nothing

.

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

The critical​ value(s) is(are)

nothing

.

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Because the test statistic

▼

is less than the critical value,

does not fall within the critical values,

falls within the critical values,

is greater than the critical value,

▼

do not reject

reject

the null hypothesis.

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

The​ p-value is

nothing

.

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

Interpret the result. Choose the correct answer below.

A.

Since the​ p-value is

not less

than the significance​ level,

do not reject

the null hypothesis.

B.

Since the​ p-value is

not less

than the significance​ level,

reject

the null hypothesis.

C.

Since the​ p-value is

less

than the significance​ level,

do not reject

the null hypothesis.

D.

Since the​ p-value is

less

than the significance​ level,

reject

the null hypothesis.

Answer 1

a) t = 2.66

p = 0.012

Interpretation:

D.

Since the​ p-value is less than the significance​ level, reject the null hypothesis.