Complete the mcq:
Q1 Two tests were given. The tests were designed with different scales. For test #1: the mean is one hundred and the standard deviation is twenty-five. On the other hand, for test #2: the mean is forty and the standard deviation is five.
Which is the better score, 130 on test #1 or 52 on test #2? (circle the correct answer)
(A) 130 on test #1 (B) 52 on test #2
(C) The relative scores are the same (D) Cannot be determined
Q2 Calculate the probability that a couple with three children will have at least two girls. The size of the sample space is
The calculated probability is
(A) 1/3 (B) 1/2 (C); 2/3 (D) 3/2
Q3 Of the 230 seats available on a flight to Osan, 30 are for smokers (15 aisle seats) and 200 are for nonsmokers (80 aisle seats). If you are randomly assigned a seat, what is the probability of getting an aisle seat or a smoking seat?
(A) 0.413 (B) 0.543 (C) 0.130 (D) 0.478
Q4Forty-eight-percent of eligible voters actually vote. If you survey four eligible voters what is the probability that they all vote?
(A) 0.0531 (B) 0.0833 (C) 0.120 (D) 0.00221
Q5 Out of a test bank of 20 questions, 10 questions will be selected for an exam. How many different exams are possible if the order of test questions is not important?
Q6 The average times required for each of twenty employees, chosen at random from a company's 217 assemblers, to do a certain assembly task are the following numbers of seconds: 71, 89, 104, 12, 86, 70, 58, 108, 80, 149, 140, 116, 46, 59, 76, 87, 72, 76, 79, 109.
On a separate sheet of paper, organize the data into a frequency distribution. From your frequency distribution create a histogram.
The number of classes you used is
The class width you used is
Q7 Find the mean, median, mode and standard deviation of the data in problem 7.
The mean is
The mode is The median is
The standard deviation is
Q8 A home security system requires a secret 6-digit sequence to be disabled. Zero and one are not allowed to be the first or the last digit in the sequence.
How many 6-digit sequences are possible?
(A) 720 (B) 1,000,000 (C) 640,000 (D) 46,656
What is the probability of guessing the correct sequence?
(A) 0.00139 (B) 0.00000100 (C) 0.00000156 (D) 0.0000214
Q9 According to a recent poll, 66.6% of people polled found statistics to be, " more exciting than stale toast." What is the probability that four or more people, out of a group of five randomly selected people, will think statistics is more exciting than stale toast?
(A) 0.460 (B) 0.329 (C) 0.131 (D) 0.800 (E) 0.197
Q10 In a time-use study, sixty randomly selected people reported spending a mean of 4.9 hours a month daydreaming about food. The standard deviation was 2.6 hours. Construct the 97% confidence interval for the mean time spent daydreaming about food.
The critical value is The error is
The confidence interval is
Q11 According to a recent in-class survey of 121 men, 19.4% of men polled indicated that driving was their favorite aspect of a date. Test the claim that the true proportion is greater than 25%. Assume a significance level of 0.01.
The null hypothesis is
(A) p = 0.25 (B) p 0.25 (C) p 0.25 (D) p = 0.194 (E) p 0.194 (F) p 0.194
The alternative hypothesis is
(A) p 0.25 (B) p > 0.25 (C) p < 0.25 (D) p 0.194 (E) p > 0.194 (F) p < 0.194
The critical value is The conclusion is The value of the test statistic is
(A) There is sufficient evidence to reject the claim
(B) There is not sufficient evidence to reject the claim
(C) There is sufficient evidence to support the claim
(D) There is not sufficient evidence to support the claim
Q12 Bad Pasta Incorporated distributes 12 oz cans of battery acid. Dr. Bailey randomly selected 16 cans, measured their contents, and obtained a sample mean of 11.82 oz and a sample standard deviation of 0.18 oz. Use a 0.01 significance level to test the claim that the company is cheating consumers.
The null hypothesis is
(A) p. = 12 (B)1.1 12 (C) µ S 12 (D) µ = 11.82 (E) 11.82 (F)1.1 11.82
The alternative hypothesis is
(A) 12 (B)µ > 12 (C) < 12 (D)µ # 11.82 (E)µ > 11.82 (F) < 11.82
The critical value is The value of the test statistic is
The conclusion is
(A) There is sufficient evidence to reject the claim
(B) There is not sufficient evidence to reject the claim
(C) There is sufficient evidence to support the claim
(D) There is not sufficient evidence to support the claim
Q13 The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
The probability of a pregnancy lasting longer than 300 days is
Q14 Six hundred hotdogs were inspected at the Weenie Meats factory. The mean weight of the dogs was 5.28 ounces, with a standard deviation of 0.53 ounces. If thirty-one dogs are randomly selected, find the probability that the mean weight of the dogs is between 4.82 and 5.33 ounces.
The probability is
Q15 A soap supply company did a survey of 413 people. Of the people surveyed 354 people indicated that they took hot showers.
Construct the 90% confidence interval estimate of the true proportion of all adults that take hot showers.
The critical value is The error is
The confidence interval is
Attachment:- Formulas and tables.rar