Question

Consider the following hypotheses:

H₀: μ = 23
H_A: μ ≠ 23

The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table)

26

25

23

27

27

21

24

a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.)

Mean
Standard Deviation

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test Statistic

c. Find the p-value.

( ) 0.05 p-value < 0.10
( ) 0.02 p-value < 0.05
( ) 0.01 p-value < 0.02
( ) p-value < 0.01
( ) p-value 0.10

d. At the 10% significance level, what is the conclusion?

( ) Do not reject H0 since the p-value is smaller than α.
( ) Do not reject H0 since the p-value is greater than α.
( ) Reject H0 since the p-value is smaller than α.
( ) Reject H0 since the p-value is greater than α.

e. Interpret the results α = 0.1.

( ) We cannot conclude that the sample mean differs from 23.
( ) We conclude that the population mean differs from 23.
( ) We cannot conclude that the population mean differs from 23.
( ) We conclude that the sample mean differs from 23.

Answer 1

b.)

c.)

it is two tailed test

Ans: 0.02 p-value < 0.05

d.)

Reject H0 since the p-value is smaller than α.

e.)

We conclude that the population mean differs from 23.