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Ashworth MA260 Exam 6 Answers / Statistical Analysis I

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MA260 Statistical Analysis Online Exam 6 Answers (Ashworth College)

Question 1 of 40

5.0/ 5.0 Points

In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.

 

A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series.

B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series.

C. Since 1/2 > 1/5 > 1/11, the first series is closer.

D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.

 

Question 2 of 40

5.0/ 5.0 Points

A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)

 

A. 0.6 B. 0.4 C. 0.7 D. 0.8

 

Question 3 of 40

5.0/ 5.0 Points

Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.

chocolate bar - chocolate bar

licorice stick - chocolate bar

banana - banana

chocolate bar - licorice stick

licorice stick - licorice stick

chocolate bar – banana

banana - licorice stick

licorice stick - banana

banana - chocolate bar

Find the probability that no chocolate bar was eaten.

 

A. 4/9 B. 5/9 C. 7/9 D. 5/8

 

Question 4 of 40

5.0/ 5.0 Points

A study of two types of weed killers was done on two identical weed plots. One weed killer killed 15% more weeds than the other. This difference was significant at the 0.05 level. What does this mean?

 

A. The improvement was due to the fact that there were more weeds in one study.

B. The probability that the difference was due to chance alone is greater than 0.05.

C. The probability that one weed killer performed better by chance alone is less than 0.05.

D. There is not enough information to make any conclusion.

 

 

 

 

 

Question 5 of 40

5.0/ 5.0 Points

In a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.

 

A. 0.384 B. 0.380 C. 0.373 D. 0.370

 

Question 6 of 40

0.0/ 5.0 Points

A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?

 

 A. The probability that the difference occurred due to chance is less than 0.05.

B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant.

C. There is not enough information to make any conclusion.

D. The probability that the difference occurred due to chance is more than 0.05.

 

Question 7 of 40

5.0/ 5.0 Points

The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.

112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000

140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000

 

A. 0.4 B. 0.6 C. 0.66 D. 0.7

 

 

Question 8 of 40

5.0/ 5.0 Points

A sample space consists of 46 separate events that are equally likely. What is the probability of each?

 

A. 1/24 B. 1/46 C. 1/32 D. 1/18

 

Question 9 of 40

5.0/ 5.0 Points

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

 

A. 2/11 B. 3/11 C. 5/14 D. 3/14

 

Question 10 of 40

0.0/ 5.0 Points

A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.

 

A. 2/6    B. 3/6       C. 4/6     D. 5/6

 

Question 11 of 40

5.0/ 5.0 Points

Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.

 

A. 0.345     B. 0.425         C. 0.587        D. 0.592

 

Question 12 of 40

5.0/ 5.0 Points

A class consists of 50 women and 82 men. If a student is randomly 
selected, what is the probability that the student is a woman?

 

A. 32/132 B. 27/66 C. 50/132 D. 82/132

 

Question 13 of 40

5.0/ 5.0 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails?

 

A. 1/2 B. 2/3 C. 3/4 D. 4/9

 

Question 14 of 40

5.0/ 5.0 Points

Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

 

A. $0.00 B. −$0.40 C. −$1.00 D. −$0.50

 

Question 15 of 40

5.0/ 5.0 Points

Of 1308 people who came into a blood bank to give blood, 314 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure (to 3 decimal places).

 

A. 0.250 B. 0.490 C. 0.240 D. 0.160

 

Question 16 of 40

5.0/ 5.0 Points

A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example, RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 16 possible outcomes.)

 

 a. 1/4          B. 3/4                C. 2/16              D. 3/16

 

 

Question 17 of 40

5.0/ 5.0 Points

A 28-year-old man pays $125 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man’s expected value for the insurance policy?

 

A. $139,916 B. −$41 C. $84 D. 124

 

Question 18 of 40

5.0/ 5.0 Points

Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?

 

A. 8 B. 6 C. 5 D. 4

 

Question 19 of 40

5.0/ 5.0 Points

A study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mean?

 

A. The probability that the difference was due to chance alone is greater than 0.01.

B. There is less than a 0.01 chance that the first group’s grades were better by chance alone.

C. The improvement was due to the fact that more people studied.

D. There is not enough information to make any conclusion.

 

Question 20 of 40

5.0/ 5.0 Points

Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value?

 

A. $1.00 B. $0.00 C. $3.00 D. −$1.00

 

 

Part 2 of 2 -

95.0/ 100.0 Points

 

Question 21 of 40

5.0/ 5.0 Points

Sample size = 400, sample mean = 44, sample standard deviation = 16. What is the margin of error?

 

A. 1.4 B. 1.6 C. 2.2 D. . 2.6

 

Question 22 of 40

5.0/ 5.0 Points

Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?

 

A. 0.8849 B. 0.5 C. 0.1131 D. 0.1151

 

Question 23 of 40

5.0/ 5.0 Points

In a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?

 

A. The reported margin of error is consistent with the sample size.

B. There is not enough information to determine whether the margin of error is consistent with the sample size.

C. The sample size is too small to achieve the stated margin of error.

D. For the given sample size, the margin of error should be smaller than stated.

 

 

 

Question 24 of 40

5.0/ 5.0 Points

Select the best fit line on the scatter diagram below.

A. A             B. B             C. C              D. None of the lines is the line of best fit

 

Question 25 of 40

5.0/ 5.0 Points

The graph shows a measure of fitness (y) and miles walked weekly. Identify the probable cause of the correlation.

A. The correlation is coincidental.

B. There is a common underlying cause of the correlation.

C. There is no correlation between the variables.

D. Walking is a direct cause of the fitness.

 

Question 26 of 40

5.0/ 5.0 Points

Eleven female college students are selected at random and asked their heights. The heights (in inches) are as follows:

67, 59, 64, 69, 65, 65, 66, 64, 62, 64, 62

Estimate the mean height of all female students at this college. Round your answer to the nearest tenth of an inch if necessary.

 

A. . It is not possible to estimate the population mean from this sample data

B. 64.3 inches      C. 64.9 inches          D. 63.7 inches

 

Question 27 of 40

5.0/ 5.0 Points

A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in this neighborhood. Give the 95% confidence interval.

A. 1.14 to 1.88 B. 1.12 to 1.88 C. 1.12 to 1.98 D. 1.14 to 1.98

 

Question 28 of 40

5.0/ 5.0 Points

Suggest the cause of the correlation among the data. Sorry graphs never transfer over

 

The graph shows strength of coffee (y) and number of scoops used to make 10 cups of coffee (x). Identify the probable cause of the correlation.

 

 

A. The variation in the x variable is a direct cause of the variation in
the y variable.

 B. There is no correlation between the variables.

 C.. The correlation is due to a common underlying cause.

D. The correlation between the variables is coincidental.

 

Question 29 of 40

5.0/ 5.0 Points

A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of $30. Past studies suggest that a population standard deviation of $248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

 

A. 274 B. 284 C. 264 D. 272

 

 

Question 30 of 40

5.0/ 5.0 Points

Which line of the three shown in the scatter diagram below fits the data best?

 

 

A. A

B. B

C. C

D. All the lines are equally good

 

Question 31 of 40

5.0/ 5.0 Points

Which point below would be an outlier if it were on the following graph?

 

 

A. (25, 20)    B. (5, 12)      C. (7, 5)    D. (5, 3)

 

Question 32 of 40

5.0/ 5.0 Points

The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the variation in availability.

A. 5% B. 10% C. 95% D. 90%

 

 

Question 33 of 40

5.0/ 5.0 Points

Select the best fit line on the scatter diagram below.

A. A           B. B              C. C            D. All of the lines are equally good

 

Question 34 of 40

5.0/ 5.0 Points

Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.

A. -0.9 B. -0.1 C. -0.5 D. 0.9

 

Question 35 of 40

5.0/ 5.0 Points

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.

 

A. 0.2323 to 0.3075 B. 0.2325 to 0.3075 C. 0.2325 to 0.3185 D. 0.2323 to 0.3185

 

Question 36 of 40

0.0/ 5.0 Points

A sample of nine students is selected from among the students taking a particular exam. The nine students were asked how much time they had spent studying for the exam and the responses (in hours) were as follows:

18, 7, 10, 13, 12, 16, 5, 20, 21

Estimate the mean study time of all students taking the exam. Round your answer to the nearest tenth of an hour if necessary.

 

A. 13 hours B. 12.2 hours C. 13.6 hours D. It is not possible to estimate the population mean from this sample data

 

Question 37 of 40

5.0/ 5.0 Points

The scatter plot and best-fit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is -0.55. Use the line of best fit to predict the number of cars at time 4 after the end of classes.

A. 7.0 B. 6.0 C. 8.0 D. 3.5

 

Question 38 of 40

5.0/ 5.0 Points

Of the 6796 students in one school district, 1537 cannot read up to grade level. Among a sample of 812 of the students from this school district, 211 cannot read up to grade level. Find the sample proportion of students who cannot read up to grade level.

 

 A. 0.14          B. 0.26           C. 211     D. 0.23

 

Question 39 of 40

5.0/ 5.0 Points

Write possible coordinates for the single outlier such that it would no longer be an outlier.

A. (23, 18) B. (20, 5) C. (15, 15) D. (12, 15)

 

Question 40 of 40

5.0/ 5.0 Points

Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.

A. 0.60 B. -0.97 C. -0.10 D. -0.60

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