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Applied Statistics Study Set 1
Quiz 9: One-Sample Hypothesis Tests
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Question 81
Multiple Choice
For tests of a mean,if other factors are held constant,which statement is correct?
Question 82
Multiple Choice
In testing a proportion,which of the following statements is incorrect?
Question 83
Multiple Choice
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.State the hypotheses to test whether the mean transaction time exceeds 60 seconds.
Question 84
Multiple Choice
Last year,10 percent of all teenagers purchased a new iPhone.This year,a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iPhone.To test whether the percent has risen,the p-value is approximately:
Question 85
Multiple Choice
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm.The process standard deviation is known to be 0.77 gm.A random sample of 49 candy bars yields a mean weight of 55.82 gm.Find the p-value for a test to see whether the candy bars are smaller than they are supposed to be.
Question 86
Multiple Choice
Given that in a one-tail test you cannot reject H
0
,can you reject H
0
in a two-tailed test at the same α?
Question 87
Multiple Choice
Last year,10 percent of all teenagers purchased a new iPhone.This year,a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iPhone.The test statistic to find out whether the percent has risen would be:
Question 88
Multiple Choice
For a right-tailed test of a hypothesis for a single population mean with n = 10,the value of the test statistic was t = 1.411.The p-value is:
Question 89
Multiple Choice
When testing the hypothesis H
0
: μ = 100 with n = 100 and σ
2
= 100,we find that the sample mean is 97.The test statistic is:
Question 90
Multiple Choice
Last year,10 percent of all teenagers purchased a new iPhone.This year,a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iPhone.To test whether the percent has risen,the critical value at α = .05 is:
Question 91
Multiple Choice
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm.The process standard deviation is known to be 0.77 gm.A random sample of 49 candy bars yields a mean weight of 55.82 gm.Which are the hypotheses to test whether the mean is smaller than it is supposed to be?
Question 92
Multiple Choice
Which of the following is not a characteristic of the t distribution?
Question 93
Multiple Choice
Given H
0
: μ ≥ 18 and H
1
: μ < 18,we would commit Type I error if we:
Question 94
Multiple Choice
For a sample size of n = 100,and σ = 10,we want to test the hypothesis H
0
: μ = 100.The sample mean is 103.The test statistic is:
Question 95
Multiple Choice
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.Find the critical value to test whether the mean transaction time exceeds 60 seconds at α = .01.