A company operates four machines during three shifts each day. From production records, the data in the table below were coll

Question 1 of 23

1.0 Points

A company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.

	Machine
Shift	A	B	C	D
1	41	20	12	16
2	31	11	9	14
3	15	17	16	10

A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.
B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.
C.The number of breakdowns is dependent on the shift, because the p-value is .07.
D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.

Question 2 of 23

1.0 Points

The chi-square goodness-of-fit test can be used to test for:

A.difference between population variances
B.difference between population means
C.significance of sample statistics
D.normality

Question 3 of 23

1.0 Points

The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amount of electricity used? These data are also available in the worksheet temperature in the Excel workbook Temperature.xlsx.

Temperature (x)	73	78	85	98	93	81	76	105
Kilowatts (y)	680	760	910	1510	1170	837	600	1800

A.No, the sample correlation coefficient is equal to 0.981, which does not provide evidence of a significant linear relationship.
B.Yes, the sample correlation coefficient is equal to 0.981, which provides evidence of a significant linear relationship.
C.Yes, the sample correlation coefficient is equal to 0.878, which provides evidence of a significant linear relationship.
D.No, the sample correlation coefficient is equal to 0.098, which does not provide evidence of a significant linear relationship.

Question 4 of 23

1.0 Points

A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:

A.inversely related
B.directly related
C.mutually exclusive
D.highly correlated

Question 5 of 23

1.0 Points

The regression line y' = -3 + 2.5 X has been fitted to the data points (28, 60), (20, 50), (10, 18), and (25, 55). The sum of the squared residuals will be:

A.16.00
B.20.25
C.49.00
D.94.25

Question 6 of 23

1.0 Points

A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As part of this trial, they wish to determine whether there is a difference between the effectiveness for women and for men. Assume α = 0.05. What is the test value?

	Women	Men
Sample size	50	80
Mean effect	7	6.95
Sample variance	3	4

A.z = 0.081
B.t = 3.252
C.t = 0.151
D.z = 0.455

Question 7 of 23

1.0 Points

A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the .10 level of significance, that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree?

	Pine trees	Spruce trees
Sample size	40	70
Mean trunk diameter (cm)	45	39
Sample variance	100	150

A. The data do not support the claim because the test value 1.29 is greater than 1.28.
B.The data support the claim because the test value 2.78 is greater than 1.28.
C.The data do not support the claim because the test value 1.29 is less than 1.64.
D. The data support the claim because the test value 2.78 is greater than 1.64.

Question 8 of 23

1.0 Points

The alternative hypothesis is also known as the:

A.research hypothesis
B.null hypothesis
C.optional hypothesis
D.elective hypothesis

Question 9 of 23

1.0 Points

The hypothesis that an analyst is trying to prove is called the:

A.level of significance
B.elective hypothesis
C.alternative hypothesis
D.quality of the researcher

Question 10 of 23

1.0 Points

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.

State the null and alternative hypotheses.

A.H₀: 75, H₁: < 75
B.H₀: = 75, H₁: ≠ 75
C.H₀: 75, H₁: > 75
D.H₀: = 75, H₁: > 75

Question 11 of 23

1.0 Points

In constructing a confidence interval estimate for a population mean, when we replace with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:

A.the normal distribution
B.chi-square distribution
C.F- distribution
D.t -distribution

Question 12 of 23

1.0 Points

A researcher wishes to know, with 98% confidence, the percentage of women who wear shoes that are too small for their feet. A previous study conducted by the Academy of Orthopedic Surgeons found that 80% of women wear shoes that are too small for their feet. If the researcher wants her estimate to be within 3% of the true proportion, how large a sample is necessary?

A.966
B.683
C.183
D.484

Question 13 of 23

1.0 Points

The standard deviation of a probability distribution must be:

A.a nonnegative number
B.a number between 0 and 1
C.a negative number
D.less than the value of the mean

Question 14 of 23

1.0 Points

The binomial probability distribution is used with

A.either a discrete or a continuous random variable, depending on the variance
B.a continuous random variable
C.either a discrete or a continuous random variable, depending on the sample size
D.a discrete random variable

Question 15 of 23

1.0 Points

If 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

A.1/600
B.1/700
C.1/300
D.1/2300

Question 16 of 23

3.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.

Sport Preferences of Men and Women
	Basketball	Football	Soccer
Men	20	25	30	75
Women	18	12	15	45
	38	37	45	120

What is the test value for this hypothesis test?

Answer: Round your answer to two decimal places.

What is the critical value for this hypothesis test?

Answer: Round your answer to two decimal places.

What is the conclusion for this hypothesis test? Choose one.

1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.

2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.

Answer: Enter only a 1 or 2 for your answer.

Question 17 of 23

1.0 Points

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Data for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using the estimated regression equation found by using size as the predictor variable, find a point estimate for the average monthly rent for apartments having 1,000 square feet of space. Place your answer, rounded to the nearest whole dollar, in the blank. When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.

Rent	Size
950	850
1600	1450
1200	1085
1500	1232
950	718
1700	1485
1650	1136
935	726
875	700
1150	956
1400	1100
1650	1285
2300	1985
1800	1369
1400	1175
1450	1225
1100	1245
1700	1259
1200	1150
1150	896
1600	1361
1650	1040
1200	755
800	1000
1750	1200

Question 18 of 23

1.0 Points

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers.

Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695.

Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. That is suppose you wish to test

H₀: $f$mu _{W} = mu _{M}f$$ versus H₁: $f$mu _{W} eq mu _{M}f$$

Assuming that the amounts spent by male and female charge customers at Q-Mart are normally distributed, based on the procedure advocated by Bluman, what is the test value that you would use to conduct this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry.

Question 19 of 23

1.0 Points

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen i

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