1. Which of the following examples can be analyzed using the Z test? a) You find
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Question
1. Which of the following examples can be analyzed using the Z test?
a) You find the average number of books per dorm room in Nyland (no standard deviation) and want to compare it to the average number of books per room in Bromley to see if they differ significantly.
b) You germinate 100 seeds and compare the number of seeds that sprouted to the average rate of germination as advertised by the nursery you bought them from
c) With a sample of 100 plants, you find the average yield of tomatoes in pounds. You then compare that mean to the mean yield and standard deviation for tomato plants grown under ideal conditions. You wish to know whether the yield of your plants matches those grown under ideal condition
2. Why do we look up the Z-table when conducting the Z-test?
a) To find the probability of our mean given the null hypothesis
b) To calculate a standard deviation
c) To convert an area into a percentage
d) To standardize our sampling distribution
3. Which of the following is a difference between the critical region and exact p-value approaches to significance testing?
a) They both return different decisions
b) The critical region approach makes it unnecessary to use a Z-table
c) The calculated statistic will differ by a factor of 1/sqrt(n)
d) The critical region approach is always two-tailed.
4. Which of the following is/are (an) example(s) of a two-tailed alternative hypothesis? (circle all that apply)
a) I want to know if people take longer showers in winter than summer
b) I want to know whether people sleep for different amounts in different seasons
c) I want to know whether house prices are related to natural disasters such as floods
d) I want to know whether people are more resistant to vertigo if they have spent more time hiking in mountains
Which of the following examples can be analyzed using the Z test? a) You find the average number of books per dorm room in Nyland (no standard deviation) and want to compare it to the average number of books per room in Bromley to see if they differ significantly. b) You germinate 100 seeds and compare the number of seeds that sprouted to the average rate of germination as advertised by the nursery you bought them from c) With a sample of 100 plants, you find the average yield of tomatoes in pounds. You then compare that mean to the mean yield and standard deviation for tomato plants grown under ideal conditions. You wish to know whether the yield of your plants matches those grown under ideal conditions
Explanation / Answer
1. Which of the following examples can be analyzed using the Z test?
Answer: c) With a sample of 100 plants, you find the average yield of tomatoes in pounds. You then compare that mean to the mean yield and standard deviation for tomato plants grown under ideal conditions. You wish to know whether the yield of your plants matches those grown under ideal condition
2. Why do we look up the Z-table when conducting the Z-test?
Answer :a) To find the probability of our mean given the null hypothesis
3. Which of the following is a difference between the critical region and exact p-value approaches to significance testing?
Answer: b) The critical region approach makes it unnecessary to use a Z-table
4. Which of the following is/are (an) example(s) of a two-tailed alternative hypothesis? (circle all that apply)
Answers:
b) I want to know whether people sleep for different amounts in different seasons
c) I want to know whether house prices are related to natural disasters such as floods
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