Question-1 (Human heights) : (https://ourworldindata.org/human-height) Use the following data to answer the following questionThe mean height for men in the U.S. was 172.20 cm in 1820 and 178.4 cm in 1996 for a sample of 25 men in the U.S. with a standard deviation 7.49 cm. Assume the population is approximately normal. a) We want to test the claim that the men in the U.S. have become taller than men in previous generations. Set up null and alternative hypotheses. Also give the type of test you will need to conduct.

• 0 = 178.4 and 1 > 178.4
• 0 = 178.4 and 1 < 178.4
• 0 = 172.2 and 1 > 172.2
• 0 > 172.2 and 1 = 178.4
• left-tailed
• two-sided
• right-tailed

b) Are conditions for 1-sample t-test satisfied? Why or why not? c) Make a sketch of the relevant distribution and shade critical region(s). Question 1 Part 4 of 7Choose FileNo file chosen d) We will use a significance level of 5%. Proceed using the P-value: P-Value Approach What is the P-value Is the P-value greater or less than the significance level?

• greater
• less

e) Do we reject or fail to reject the Null hypothesis? Is there sufficient evidance to support the claim, at 5% significance level, that the men in the U.S. have become taller than their previous generations?