Statistics work

Name___________________________________ Date:________________________ Prof. Yeung MA 103 Final Exam MA 103 Fall 2014 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Identify the data set's level of measurement. 1) hair color of women on a high school tennis team

A) nominal B) ordinal C) ratio D) interval 1)

2) number of milligrams of tar in 85 cigarettes A) interval B) ordinal C) nominal D) ratio

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3) the ratings of a movie ranging from "poor" to "good" to "excellent" A) ratio B) nominal C) ordinal D) interval

3)

For questions 4 & 5: The heights (in inches) of 30 adult males are listed below.

70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68

Class with = ______________________________________

4) Construct a frequency distribution, a relative frequency distribution, and a cumulative frequency distribution using five classes.

Class Frequency Midpoint

Relative

frequency Cummulative frequency

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Use the frequency distribution table from question #4 to answer the following question. 5) Construct a frequency polygon using five classes. Use the Midpoint for the Horizontal axis.

Provide an appropriate response. 6) The table lists the smoking habits of a group of college students.

Sex Non-smoker Regular Smoker Heavy Smoker Total Man 135 34 5 174 Woman 187 21 10 218 Total 322 55 15 392 If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker. Round your answer to three decimal places.

7) Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.

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Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. 8) The number of 5-digit pin codes if no digit can be repeated

Provide an appropriate response. 9) How many different permutations of the letters in the word PROBABILITY are there?

10) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of at most three boys in ten births.

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11)Find the area of the indicated region under the standard normal curve.

Provide an appropriate response. Use the Standard Normal Table to find the probability. 12) Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard

deviation of 2.5 inches. The U.S. Army requires that the heights of women be between 58 and 80 inches. If 200 women want to enlist in the U.S. Army, how many would you expect to meet the height requirements?

Provide an appropriate response. 13) Use a standard normal table to find the z-score that corresponds to the 80th

percentile. 13)

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14) The weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. Find the mean and standard error of the mean for this sampling distribution when using random samples of size 8.

15) A recent survey found that 72% of all adults over 50 wear glasses for driving. You randomly select 33 adults over 50, and ask if he or she wears glasses. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation, If not, explain why.

16) An airline reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows.

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17) The standard IQ test has a mean of 96 and a standard deviation of 14. We want to be 99% certain that we are within 4 IQ points of the true mean. Determine the required sample size.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

18) The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. A) two-tailed B) left-tailed C) right-tailed

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19) The mean IQ of statistics teachers is greater than 130. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? A) There is sufficient evidence to reject the claim μ > 130. B) There is not sufficient evidence to reject the claim μ > 130. C) There is sufficient evidence to support the claim μ > 130. D) There is not sufficient evidence to support the claim μ > 130.

19)

20) A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 36,000 miles. To check the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 35,630 miles with a population standard deviation of 1200 miles. At α = 0.05, test the trucking firm's claim.

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