Answer to Question #348912 in Statistics and Probability for Nicole

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.

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

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

$H_0:\mu=30.$

$H_a: \mu\not=30.$

3.

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

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

$H_0:\mu=30.$

$H_a: \mu\not=30.$