Question: Hey can you answer this question with workings? im stuck on it! A researcher wants to study whether the height of 13 years old male

Hey can you answer this question with workings? im stuck on it!

A researcher wants to study whether the height of 13 years old male teenagers has increased. 3 years ago, a research revealed that theaverage height of 13 -old male teenagerswas145cm with astandard deviation of 20 cm. The researcher took a randomsample of 150, 13-year old male teenagers and found that theaverage height of the sample is 147 cm. Are the 13-year old male teenagerstaller now than they were before?Conduct a hypothesis test considering a 0.05 significance level.

Question 1 - Use the appropriate formula and calculate thetest statisticin this hypothesis test.

Question 2 - What is thecritical valuefor this test statistic appropriate to this hypothesis test?

Question 3 - State the decision rule and conclusion.

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