Answer to Question #349702 in Statistics and Probability for Mike

Question

II. Determine the given of the problems below and formulate the null and alternative hypothesis both in words and symbols. Write your answer in your notebook. Please follow the format in the examples.

2. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.

3. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.

Answer 1

2.

The parameter is the mean marrying ager of teachers $\mu.$

The following null and alternative hypotheses need to be tested:

$H_0:$ the mean marrying ager of teachers is 30.

$H_a:$ the mean marrying ager of teachers is not 30.

$H_0:\mu=30$

$H_a:\mu\not=30$

This corresponds to a two-tailed, non directional test for mean.

3.

The parameter is the mean marrying ager of teachers $\mu.$

The following null and alternative hypotheses need to be tested:

$H_0:$ the mean marrying ager of teachers is 30.

$H_a:$ the mean marrying ager of teachers is not 30.

$H_0:\mu=30$

$H_a:\mu\not=30$

This corresponds to a two-tailed, non directional test for mean.