**QNT275 Final Exam Multiple Choice Questions**

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**Question 1: The alternative hypothesis is a claim about a:**

a) statistic, where the claim is assumed to be false until it is declared true

b) parameter, where the claim is assumed to be true if the null hypothesis is declared false

c) statistic, where the claim is assumed to be true if the null hypothesis is declared false

d) parameter, where the claim is assumed to be true until it is declared false

**Question 2: In a hypothesis test, a Type II error occurs when:**

a) a true null hypothesis is not rejected

b) a false null hypothesis is not rejected

c) a false null hypothesis is rejected

d) a true null hypothesis is rejected

**Question 3: Two paired or matched samples would imply that:**

a) data are collected on one variable from the elements of two independent samples

b) two data values are collected from the same source (elements) for two dependent samples

c) data are collected on two variables from the elements of two independent samples

d) two data values are collected from the same source (elements) for two independent samples

**Question 4: A linear regression:**

a) gives a relationship between two variables that can be described by a line

b) gives a relationship between two variables that cannot be described by a line

c) gives a relationship between three variables that can be described by a line

d) contains only two variables

**Question 5: For a one-tailed test, the p-value is:**

a) twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

b) twice the area under the curve between the mean and the observed value of the sample statistic

c) the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

d) the area under the curve between the mean and the observed value of the sample statistic

**Question 6: A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:**

a) not normal

b) approximately normal

c) skewed to the right

d) skewed to the left

**Question 7: To make tests of hypotheses about more than two population means, we use the:**

a) t distribution

b) chi-square distribution

c) normal distribution

d) analysis of variance distribution

**Question 8: In a survey regarding job satisfaction, 574 in a sample of 934 female job-holders stated that they are satisfied with their jobs, while 500 in a sample of 755 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.**

**What is the critical value of z for the hypothesis test?**

a) -1.96

b) -2.33

c) -2.05

d) -2.17

**Question 9: The mean of a discrete random variable is its:**

a) box-and-whisker measure

b) second quartile

c) upper hinge

d) expected value

**Question 10: We can use the analysis of variance procedure to test hypotheses about:**

a) two or more population means

b) two or more population proportions

c) the mean of one population

d) the proportion of one population

**Question 11: You toss a coin nine times and observe 3 heads and 6 tails. This event is a:**

a) simple event

b) multinomial sample point

c) compound event

d) multiple outcome

**Question 12: A qualitative variable is the only type of variable that**

a) cannot be graphed

b) cannot be measured numerically

c) can assume an uncountable set of values

d) can assume numerical values

**Question 13: An error that occurs because of chance is called:**

a) nonsampling error

b) mean error

c) probability error

d) sampling error

**Question 14: A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is:**

a) greater than to $110,000

b) not equal to $110,000

c) less than to $110,000

d) equal to $110,000

**Question 15: If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:**

a) sampling distribution

b) sample distribution

c) sample mean

d) sample proportion

**Question 16: Two events are independent if the occurrence of one event:**

a) does not affect the probability of the occurrence of the other event.

b) affects the probability of the occurrence of the other event.

c) means that the second event is certain to occur.

d) means that the second event cannot occur.

**Question 17: For small degrees of freedom, the chi-square distribution is:**

a) symmetric

b) rectangular

c) skewed to the right

d) skewed to the left

**Question 18: Which of the following assumptions is not required to use ANOVA?**

a) The populations from which the samples are drawn have the same variance.

b) The populations from which the samples are drawn are (approximately) normally distributed.

c) All samples are of the same size.

d) The samples drawn from different populations are random and independent.

**Question 19: The model y = A + Bx is a:**

a) probabilistic model

b) stochastic model

c) deterministic model

d) nonlinear model

**Question 20: The mean of a discrete random variable is the mean of its:**

a) frequency distribution

b) second and third quartiles

c) probability distribution

d) percentage distribution

**Question 21: For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the:**

a) observed frequencies

b) expected frequencies

c) subjective frequencies

d) objective frequencies

**Question 22: The regression model y = A + Bx + e is:**

a) a nonlinear model

b) an exact relationship

c) a probabilistic model

d) a deterministic model

**Question 23: The p-value is the:**

a) largest significance level at which the alternative hypothesis can be rejected

b) smallest significance level at which the null hypothesis cannot be rejected

c) smallest significance level at which the null hypothesis can be rejected

d) largest significance level at which the null hypothesis can be rejected

**Question 24: A sample of 16 from a population produced a mean of 86.9 and a standard deviation of 14.3. A sample of 18 from another population produced a mean of 75.4 and a standard deviation of 15.9. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the man of the second population. The significance level is 1%.**

**What is the critical value of t for the hypothesis test?**

a) 2.449

b) 2.733

c) 2.441

d) 2.738

**Question 25: In a game of four-handed Hearts, all 52 cards of a standard deck are dealt, so that each player starts each round with 13 cards in a hand. Suppose player A’s hand has three clubs, six diamonds, two hearts, and two spades. What is the relative frequency of spades, rounded to two decimal places, dealt to player A?**

a) 0.15

b) 0.25

c) 1.5

d) 0.75

**Question 26: Which of the following pairs of events are mutually exclusive?**

a) Female and male

b) Female and no

c) Male and yes

d) Female and yes

**Question 27: In a hypothesis test, a Type I error occurs when:**

a) a true null hypothesis is not rejected

b) a true null hypothesis is rejected

c) a false null hypothesis is rejected

d) a false null hypothesis is not rejected

**Question 28: A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is:**

a) less than 30 minutes

b) less than or equal to 30 minutes

c) not equal to 30 minutes

d) equal to 30 minutes

**Question 29: A quantitative variable is the only type of variable that can:**

a) assume numeric values for which arithmetic operations make sense

b) have no intermediate values

c) be used to prepare tables

d) be graphed

**Question 30: In a one-way ANOVA, we analyze only one:**

a) variable

b) population

c) mean

d) sample

**Course**: QNT275 Statistics for Decision Making

**School**: University of Phoenix

- 03/09/2017
- 2
- Week 5 Test-15