MATH 250 Elements of Statistics-Which one of the following describes a quantitative,

MATH 250 Elements of Statistics Multiple Choice. Due to alternate methods of computation, there may be slight differences in letter of the best answer, and type it in the blank to the left of the problem number. Please do n
example just type A instead of 

A. ). Also please do not change the spacing by inserting new ro
out to the right of the question as needed. Hypothesis testing templates are provided on the ne

1. Which one of the following describes a quantitative, discrete variable?
A. Eye color
B. Weights of new-born babies
C. License plate numbers
D. Number of vehicles on the Kansas Turnpike 2. A recent poll of 700 drivers on the Kansas Turnpike was conducted by selecting eve
A. Convenience sampling
B. Stratified sampling
C. Systematic sampling
D. Random sampling Problems 3 and 4 refer to the following data:
The following are speeds (miles per hour) of cars measured with a radar gun on the Kansas Tu
70 78 76 74 79 79 74 78 3. Find the mean and median to the nearest tenth for this sample data.
A. Mean = 77, Median = 76.5 B. Mean = 76, Median = 76.5 C. Mean = 77, Median = 79.0 D. Mean = 76, Median = 79.0 4. Which of the following gives the sample standard deviation and the range of the dat
A. SD = 3.2
Range = 11 B. SD = 2.8
Range = 9 C. SD = 3.2
Range = 9 D. SD = 2.8
Range = 11 5. A researcher obtains data by examining police records for the last ten years on viole
A. Observational and Retrospective
B. Observational and Prospective
C. Experimental and Cross-sectional
D. Experimental and Retrospective 6. The following frequency distribution summarizes credit rating scores for 20 randomly c
the mean credit rating score by using class midpoints for credit rating scores.
Credit rating scores
500 – 549
550 – 599
600 – 649
650 – 699
700 – 749
750 – 799
800 – 849 A. Frequency
1
1
1
4
5
5
3 Mean
B. Mean
= 674.5
= 699.0 C. Mean = 719.5 D. Mean = 749.5 Problems 7 and 8 refer to the following histogram, which represents test scores on a recent s 7. Identify the percent of scores that are less than or equal to 70.
A. 41.7% B. 5 C. 70.0% D. 38.7% 8. Within which test score group would the first quartile (Q1) fall?
A. 11-20 B. 21-30 C. 41-50 D. 51-60 Problems 9 and 10 refer to the following box-and-whisker plots that compare the pulse rates
Male pulse rate 49 55 …….60 …………..79 101 Female pulse rate 52 ...66 …… .75 84 98 9. Which distribution shape best describes the boxplot Female pulse rate?
A.
B. Skewed right
Skewed left C.
D. Uniform
Normal 10. Which of the following statements is false concerning the box-and-whisker plots?
A.
B.
C.
D. Male pulse rate has a larger interquartile range (IQR) than the IQR of fem
Male pulse rate has a larger median than female pulse rate
Male pulse rate has a larger maximum than female pulse rate
Male pulse rate has a smaller Q3 than female pulse rate 11. Out of 40 randomly chosen patients age 65 or older, at most 20% were diagnosed t A.
B.
C.
D. 12. If Eight or fewer patients are obese.
Fewer than eight patients are obese.
More than eight patients are obese.
None of the above. , which one of the following statements is false? A.
B.
C.
D. The probability of the complement of A is 0.03
The probability of event A happening twice in a row (with replacement) is
A is not an “unusual” event
A is not a certain event. Problems 13 and 14 refer to the following table:
A marketing survey was conducted in order to determine the
probability distribution for iPhone 6 use at FHSU. A table has been
created based on the results from 7 randomly chosen students from
the FHSU campus. The random variable x represents the numbers of
students who use an iPhone 6.
Number of People (x)
0
1
2
3
Probability
0.121
0.215
0.139
0.150 13. Determine the probability that all 7 students use iPhone 6 so that this data set repre
A. 0.065 B. 0.055 C. 0.045 D. 0.035 14. Determine the expected number (mean) of students who use iPhone 6.
A. 3.858 B. 2.934 C. 4.812 D. 5.146 15. One card is randomly chosen from a standard deck of 52 cards. If the cards are
drawn without replacement, what is the probability that one King and an Ace card are
chosen in either
A. order?
C. B. D. 16. Based on a poll, 60% of adults believe in the Devil. What is the probability of rand
A. 0.26 B. 0.0026C. 2.6 D. 0.026 17. Assume that random guesses are made for 10 multiple choice questions on an ACT
test and that there are 5 choices for each question with probability of success 0.35. Find
the probability that the number of correct answers is at most 4 (This problem meets all the
requirements of a binomial situation.)
A. 0.514 B. 0.751 C. 0.942 D. 0.579 Problems 18 – 24 refer to the following distribution: The heights of adult males are normally distributed with a mean of 75 inches and a standard d
18. What is the z-score that corresponds to a height of 72 inches?
A. -2.5 B. 2.5 C. -0.86D. 0.86 19. What symmetric interval about the mean will contain approximately 68% of the heig
A. 71.5 to 78.5 B. 65.5 to 73.5 C. 68 to 82 D. 64.5 to 85.5 20. What is the probability of randomly selecting 1 male whose average height is at leas
A. 0.7161 B. 0.6914 C. 0.9431 D. 0.2838 21. Which height is at the 60th percentile (rounded to the nearest whole number)?
A. 76 B. 70 C. 72 D. 68 22. What percentage of heights are between 66 inches and 74 inches?
A. 15% B. 38% C. 19% D. 12% 23. Suppose random samples of 16 male heights are selected repeatedly from the populatio
What is the mean and standard deviation for the sampling distribution of sample means?
A. Mean = 75, SD = C. Mean = 72, SD = B. = 72, SD =
Mean D. Mean = 75, SD = 24. What is the probability of randomly selecting 16 males whose average height is at m
A. 0.0003 B. 0.9995 C. 0.8043 D. 0.1957 Problems 25 – 27 refer to the following situation:
Suppose you want to determine the average home run
percentage for the Royals baseball team. You randomly
select 50 players from Royals history and determine that the
mean number of home runs per 100 times at bat is 7.64. 25. Compute a 95% confidence interval for the mean home run percentage, given that th
A. 7.64 ± 1.48 B. 7.64 ± 2.17 C. 7.64 ± 4.17 D. 7.64 ± 2.09 26. Assume the population standard deviation is estimated to be
How large a sample, n, should be used to obtain a margin of error of 2 with 95% confid
A. 31 B. 45 C. 205 D. 257 27. Consider the situation given in Problem #26. Which of the following would produce
A. Using a confidence level of 90%
B. Using a smaller estimate for ? C. Using a larger sample size
D. All of the above A-C 28. Which of the following statements is TRUE?
A.
B.
C.
D. The Central Limit Theorem states that a sampling distribution will not hav
The Central Limit Theorem states that the mean of a sampling distribution
The Central Limit Theorem states that the standard deviation of a samplin
will have a larger standard deviation than the population distribution from
None of A-C is true. 29. If your population is normally distributed, which of the following statements regardi A.
B.
C.
D. When
is known, we use the critical value
When
we use the critical valu
When
we use the critical value
None of A-C is always false. 30. POPT Popcorn is trying to determine the probability that the kernels of popcorn will po
most 2% is desired. How many kernels must be sampled to meet this requirement at the 99%
preliminary estimate of
is known?
A. 1537 B. 39 C. 4145 D. 3851 31. In a marketing survey, a random sample of 850 shoppers revealed that 688 remained loy
supermarkets during the past year. Find a 90% confidence interval for the percentage of peopl
their supermarket.
A. B. C. D. 32. The US census reported that it takes workers an average of 28 minutes to drive home fr
Los Angles believe that it takes workers in their city, on average, more than 28 minutes to driv
of the following gives the proper alternative hypothesis to test the claim that the average leng
LA to drive home from work is greater than 28 minutes?
A. B. C. D. 33. According to Facebook.com, the mean number of community pages, groups, and event
to is 80. A random sample of 64 Facebook users showed a mean of 86 connections to commu
events. Assume
Compute the test statistic for this test A. 7.98 B. -0.63 C. -1.25 D. 1.00 34. The National Institute on Alcohol Abuse and Alcoholism reported that 45.6% of eighth-g
A random sample of 100 eighth-graders showed that 41 of them had used alcohol. Is there e
proportion of eighth-graders has changed? Use
Compute the P value for this test.
A. 0.5440 B. 0.3557 C. 0.1779 D. 0.4100 35. Suppose for a particular hypothesis test, a = 0.04 and the P value = 0.05. Which of A. We reject the null hypothesis.
B. We fail to reject the null hypothesis.
C. The observed result is “unusual”.
D. The computed test statistic, z, does fall in the shaded critical 36. The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cer
sample of 16 different cereals. The linear correlation coefficient is
and the regressi
, where amounts of sugar. The mean of the 16 amounts of sugar is 0.295 grams and the
counts is 3.76. What is the best predicted calorie count for a cereal with a measured sugar am
A. 3.86 calories B. 3.76 calories C. 4.23 calories D. 0.295 calories 37. A correlation coefficient of 0.057 between two quantitative variables A and B indicates
A. As A increases, B tends to inc
B. Changes in A cause changes i
C. As A increases, B tends to decrease.
D. There is a very weak association between A and B, and chang 38. Of the scatterplot graphs below, which one represents the strongest, negative linear c
A. C. B. D. Problems 39 and 40 refer to the following table:
The paired values represent the systolic blood pressure in the right and left arm of a patient. Right
Left 102
175 101
169 94
182 79
146 79
144 39. Compute the least squares regression line for the predicted systolic blood pressure in
A. C. B. D. 40. Calculate the correlation coefficient between the two variables.
A. 0.7518 C. 0.8671 B. -0.7518 D. -0.8671 NAME: be slight differences in answers. Choose the
lem number. Please do not add the "dot" (for
cing by inserting new row. Work should be shown
es are provided on the next worksheet. nducted by selecting every 50th vehicle. Identify the type of sampling method used. ar gun on the Kansas Turnpike.
77 76, Median = 76.5 76, Median = 79.0 and the range of the data?
D. SD = 2.8
Range = 11 75 e last ten years on violent crimes during Spring Breaks. Identify the types of study for this description. cores for 20 randomly chosen subjects. Estimate
scores. D. Mean = 749.5 test scores on a recent statistics test. D. 51-60 compare the pulse rates of males and females. pulse rate? box-and-whisker plots? QR) than the IQR of female pulse rate e pulse rate t 20% were diagnosed to be obese. What is the complement of this description? w (with replacement) is 0.0049. 4
0.086 5
0.132 6
0.112 7
? o that this data set represents a legitimate probability distribution.
D. 0.035 e iPhone 6.
D. 5.146 s. If the cards are
an Ace card are s the probability of randomly selecting 4 people and none of them believe in the Devil? uestions on an ACT
uccess 0.35. Find
roblem meets all the inches and a standard deviation of 3.5 inches. imately 68% of the heights?
D. 64.5 to 85.5 average height is at least 6’1” tall?
D. 0.2838 whole number)?
D. 68 D. 12% edly from the population.
of sample means? e average height is at most 72 inches?
D. 0.1957 percentage, given that the sample standard deviation was
D. 7.64 ± 2.09 or of 2 with 95% confidence? ollowing would produce a confidence interval with a smaller margin of error? distribution will not have the same shape as the population distribution from which it is taken.
f a sampling distribution of means will have the same mean as the population distribution from which it is taken.
d deviation of a sampling distribution of means (with
ulation distribution from which it is taken. wing statements regarding confidence intervals of population means is always FALSE? rnels of popcorn will pop. A margin of error of at
requirement at the 99% confidence level if no d that 688 remained loyal to their favorite
the percentage of people who will remain loyal to minutes to drive home from work. City officials in
e than 28 minutes to drive home from work. Which
im that the average length of time for workers in ages, groups, and events that users are connected
6 connections to community pages, groups, and d that 45.6% of eighth-graders had used alcohol.
sed alcohol. Is there evidence that the population
he P value for this test. value = 0.05. Which of the following statements is TRUE? alories (per gram of cereal) were recorded for a
and the regression equation is
r is 0.295 grams and the mean of the 16 calorie
th a measured sugar amount of 0.40 g? iables A and B indicates that ongest, negative linear correlation? d left arm of a patient. ystolic blood pressure in the left arm