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Exam 10: One-Sample Tests of Hypothesis

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Question 41

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A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds. What is the alternate hypothesis?

A) H₁: µ = 6.6
B) H₁: µ ≠ 6.6
C) H₁: µ ≥ 6.6
D) H₁: µ > 7.6

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Question 42

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The level of significance is the probability of rejecting the null hypothesis when it is actually true.

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Question 43

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For an alternative hypothesis: µ > 6,700,where is the rejection region for the hypothesis test located?

If the alternate hypothesis states that µ ≠ 4,000,where is the rejection region for the hypothesis test?

Consider a left-tailed test,where the p-value is found to be 0.10. If the sample size n for this test is 49,then the t-statistic will have a value of ________.

For a one-tailed hypothesis test,the critical z-value of the test statistic is −2.33. Which of the following is true about the hypothesis test?

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds. Does the sample data show a significant increase in the average birthrate at a 5% level of significance?

For a null hypothesis,H₀: µ = 4,000,if the 1% level of significance is used and the z-test statistic is +6.00,what is our decision regarding the null hypothesis?

The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. Which of the following is the alternate hypothesis?