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There is a mistake in the question d; \"the mean time of 2:05.65\" means 2 minut

ID: 2932448 • Letter: T

Question

There is a mistake in the question d; "the mean time of 2:05.65" means 2 minutes 5.65 seconds.

Thank you

Question 5 Using equality inequality symbols (, -, etc.) please identify the null hypothesis (Ho) and the alternative hypothesis (Ha) that would satisfy each of these statements. In addition, please categorize them as being either: (i) a one-sided test to the right, (ii) a one-sided test to the left, or (iii) a two-sided test. For example, if the statement was that the average temperature in Montreal for the month of November never exceeds 5 degrees Celsius, you would answer the following: Ho: 5. This is a one-sided test to the right. h en nmapie Camies a less than 11. b. The amount of liquid in bottles of Coca Cola is not 255mL c. The salary of an elite National Hockey League player always exceeds $1.8 million US d. The mean time for Michael Phelps in the 200-metre individual medley is at least 2:03.65 The mean height of the Canadian women's hockey team at the 2006 Winter Olympics is no more than 6'4. e.

Explanation / Answer

Note:

If alternative hypothesis contains ‘>’, then it is one sided test to the right (right tailed test). If alternative hypothesis contains ‘<’, then it is one sided test to the left (left tailed test). If alternative hypothesis contains ‘’, then it is a two sided or two tailed test.

Solutions:

Part a

H0: µ 11 Vs Ha: µ<11

This is a one sided test to the left.

Part b

H0: µ = 255 Vs Ha: µ 255

This is a two sided test.

Part c

H0: µ 1.8 Vs Ha: µ>1.8

This is a one sided test to the right.

Part d

H0: µ 2 minutes 5.65 seconds Vs Ha: µ< 2 minutes 5.65 seconds

This is a one sided test to the left.

Part e

H0: µ 6’4 Vs Ha: µ>6’4

This is a one sided test to the right.

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