Performance Task on Hypothesis Testing

 Identify whether the statement below is a null or an alternative hypothesis.

The average age of grade eleven students is 17 years old.

 Identify whether the statement below is a null or an alternative hypothesis.

The mean content of citric acid in a bottle of juice drinks is greater than 2ml.

 Identify whether the statement below is a null or an alternative hypothesis.

The mean weight of newborn babies during the pandemic is less than 0.6kg.

If Ha: $$\mu\ >\ Php\ 18000$$  , which type of test is best to use?

If Ha: $$\mu\ \ne\ 75\ ml$$  , which type of test is best to use?

What is the critical value to use if you are to conduct a one-tailed left test at 5% level of significance?

What is the critical value to use if you are to conduct a two-tailed test at 1% level of significance?

Which of the following shows the correct representation of the rejection region with Ha: $$\mu<5.2$$   and a critical value ± 2.33

Shade the correct rejection region:

Given Ha: μ > 2.03 with a critical value of ±1.96

"A manufacturing firm has been averaging 25 orders per week for several years. However, during the pandemic, orders appear to have slowed down. Suppose the firm’s production manager randomly selects 12 weeks and finds a sample mean of 23.5 orders with a sample standard deviation of 3.5 orders. Test to determine whether the average number of orders is down using 5% level of significance. "

What is the appropriate test to use in the problem above?