Question

Consider the following hypotheses:

*H*_{0}: *μ* = 23

*H _{A}*:

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.

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38
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34
36
33
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(Round your answers to 2 decimal
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