Answer to Question #348907 in Statistics and Probability for Nicole

Question

I. 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.

1. A jeepney driver claims that his average monthly income is Php 3000.00 with a standard deviation of Php 300.00. A sample of 30 jeepney drivers were surveyed and found that their average monthly income is Php 3500.00 with a standard deviation of Php 350.00. Test the hypothesis at 1% level of significance.

H0: _____

Ha: _____

2. A mathematics teacher in senior high school developed a problem-solving test to randomly selected 40 grade 11 students. These students had an average score of 85 and a standard deviation of 5. If the population had a mean score of 90 and a standard deviation of 3, use 5% level of significance to test the hypothesis.

H0: _____

Ha: _____

Answer 1

1.

$H_0:$ average monthly income is Php 3000.00

$H_a:$ average monthly income is not Php 3000.00

$H_0:\mu=3000.00$

$H_a:\mu\not=3000.00$

2.

$H_0:$ a mean score is 90

$H_a:$ a mean score is not 90

$H_0:\mu=90$

$H_a:\mu\not=90$