A single sample Z-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is at least 18 (o ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year is less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 1900 (n = 32). The sample mean is x = 17. The population with a standard deviation of o= 1.5. The researchers chose to use Single Sample Z-Test. They agreed on a Type I error rate of a = 0.05. 24. State the Null and Alternative Hypotheses. 25. What is the Level of Confidence? 26. What is the critical value?. Hint: You will find it in the standard normal table. 27. What is the decision rule? 28. What is the equivalent z-score of x = 17? A. 1.5 C. 3.0 D. -1.97 B. -3.77 29. What is the conclusion for this problem? 30. In this same problem, how do you state the null hypothesis when it is a two-tailed test? 31. In this same problem, what are the critical values when the test to be done is two-tailed test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A single sample Z-test is to be done on a study about typhoons. Many believe that the
average number of typhoons that enter the Philippines each year is at least 18 (o ≥ 18).
Some climatologists, however, observe that the true average number of typhoons that enter
the Philippines each year is less than 18.
Science teachers from LPU collected the data about the typhoons that entered the
country each year since 1900 (n = 32). The sample mean is x = 17. The population with a
standard deviation of a = 1.5.
The researchers chose to use Single Sample Z-Test. They agreed on a Type I error rate
of a = 0.05.
24. State the Null and Alternative Hypotheses.
25. What is the Level of Confidence?
26. What is the critical value?. Hint: You will find it in the standard normal table.
27. What is the decision rule?
28. What is the equivalent z-score of x = 17?
A. 1.5
C. 3.0
B. -3.77
D. -1.97
29. What is the conclusion for this problem?
30. In this same problem, how do you state the null hypothesis when it is a two-tailed test?
31. In this same problem, what are the critical values when the test to be done is two-tailed
test?
Transcribed Image Text:A single sample Z-test is to be done on a study about typhoons. Many believe that the average number of typhoons that enter the Philippines each year is at least 18 (o ≥ 18). Some climatologists, however, observe that the true average number of typhoons that enter the Philippines each year is less than 18. Science teachers from LPU collected the data about the typhoons that entered the country each year since 1900 (n = 32). The sample mean is x = 17. The population with a standard deviation of a = 1.5. The researchers chose to use Single Sample Z-Test. They agreed on a Type I error rate of a = 0.05. 24. State the Null and Alternative Hypotheses. 25. What is the Level of Confidence? 26. What is the critical value?. Hint: You will find it in the standard normal table. 27. What is the decision rule? 28. What is the equivalent z-score of x = 17? A. 1.5 C. 3.0 B. -3.77 D. -1.97 29. What is the conclusion for this problem? 30. In this same problem, how do you state the null hypothesis when it is a two-tailed test? 31. In this same problem, what are the critical values when the test to be done is two-tailed test?
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