Essay on Statistics Final Exam Answers

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1. A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume the null hypothesis indicates a two-tailed test and the researcher decided to use the 0.10 significance level. For what values of t will the null hypothesis not be rejected?
a) To the left of -1.645 or to the right of 1.645
b) To the left of -1.345 or to the right of 1.345
c) Between -1.761 and 1.761
d) To the left of -1.282 or to the right of 1.282

2. Which of the following is a characteristic of the F distribution?
a) Normally distributed
b) Negatively skewed
c) Equal to the t-distribution
d) Positively skewed

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3. For a chi-square test
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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?
a) .25
b) 1.00
c) .50
d) .20

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8. When data is collected using a qualitative, nominal variable, what is true about a frequency distribution that summarizes the data?
a) The upper and lower class limits must be calculated.
b) The number of classes is equal to the number of variables plus 2.
c) The “5 to the k rule” can be applied.
d) A pie chart can be used to summarize the data.

9. If an ANOVA test is conducted and the null hypothesis is rejected, what does this indicate?
a) The p-value is less than a.
b) All population means are different.
c) At least one pair of population means is different.
d) The population means are equal.

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10. A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what number of degrees of freedom should be used to determine the appropriate t-value?
a) 25
b) 21
c) 19
d) 20

11. The question, "Should products be withdrawn if even one death is associated with its prescribed use,

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