MATH 1342 Final Exam Review Name Construct a frequency distribution for the given qualitative data. 1) The blood types for 40 people who agreed to participate in a medical study were as follows. 1) O A A O O AB O B A O A O A B O O O AB A A A B O A A O O B O O O A O O A B O O A AB Construct a frequency distribution for the data. A) Blood type Frequency O 18 A 14 C) Blood type Frequency O 19 A 13 B) Blood type Frequency O 19 A 11 AB 2 D) Blood type Frequency O 20 A 13 B 4 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Perform the indicated goodness-of-fit test. 2) In studying the occurrence of genetic characteristics, the following sample data were obtained. At the 0.05 significance level, test the claim that the characteristics occur with the same frequency. 2) Characteristic A B C D E F Frequency 28 30 45 48 38 39 Provide an appropriate response. 3) Find the critical F0-value to test the claim that the populations have the same mean. Use = 0.05. 3) Brand 1 Brand 2 Brand 3 n = 8 n = 8 n = 8 x = 3.0 x = 2.6 x = 2.6 s = 0.50 s = 0.60 s = 0.55 A) 1.892 B) 3.210 C) 2.819 D) 3.47 1
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Perform the indicated goodness-of-fit test. 4) Using the data below and a 0.05 significance level, test the claim that the responses occur with percentages of 15%, 20%, 25%, 25%, and 15% respectively. 4) Response A B C D E Frequency 12 15 16 18 19 A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell-shaped, triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. 5) A relative frequency histogram for the heights of a sample of adult women is shown below. 5) A) J-shaped B) Triangular C) Left skewed D) Bell-shaped Find the median for the given sample data. 6) 15, 15, 27, 29, 44, 47 6) A) 29 B) 27 C) 28 D) 29.5 Provide an appropriate response. 7) The test scores of 40 students are summarized in the frequency distribution below. Find the standard deviation. 7) Score Students 50 -under60 14 60-under 70 5 70-under 80 8 80-under 90 7 90-under 100 6 A) 14.2 B) 13.4 C) 15.6 D) 14.9 8) A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey? A) 720 B) 36 C) 6 D) 120 8) 2
Find the conditional probability. 9) If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade. A) 0.216 B) 0.231 C) 0.917 D) 0.235 9) Use the general multiplication rule to find the indicated probability. 10) You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen. A) 0.154 B) 0.006 C) 0.002 D) 0.127 10) 11) A quantitative data set has size 60. At least how many observations lie within 2 standard deviations to either side of the mean? A) At least 57 B) At least 60 C) At least 46 D) At least 14 11) Use counting rules to determine the probability. 12) In a card game, each player is dealt 4 cards from an ordinary deck of 52 playing cards. Determine the probability of being dealt a hand containing three cards of one denomination and one of another. A) 0.0137 B) 0.165 C) 0.0000591 D) 0.00922 12) Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that used for the observations. 13) 15, 42, 53, 7, 9, 12, 14, 28, 47 13) A) 16.6 B) 17.8 C) 15.8 D) 29.1 14) The library is to be given 3 books as a gift. The books will be selected from a list of 8 titles. If each book selected must have a different title, how many possible selections are there? A) 6720 B) 336 C) 56 D) 40,320 14) Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 15) With n = 20 and p = 0.60, estimate P(less than or equal to 8). 15) A) 0.4953 B) 0.4332 C) 0.0668 D) 0.0548 Find the confidence interval specified. 16) The mean score, x, on an aptitude test for a random sample of 3 students was 71. Assuming that = 13, construct a 95.44% confidence interval for the mean score, µ, of all students taking the test. A) 59.7 to 82.3 B) 56.0 to 86.0 C) 45 to 97 D) 62.3 to 79.7 16) Use the one-proportion z-interval procedure to find the required confidence interval. 17) In a sample of 1165 patients who underwent a certain type of surgery, 17% experienced complications. Find a 99% confidence interval for the proportion of all those undergoing this surgery who experience complications. A) 0.1523 to 0.1877 B) 0.1417 to 0.1983 C) 0.1323 to 0.2077 D) 0.1590 to 0.1810 17) 3
Use the one-standard-deviation chi-square interval procedure to obtain the specified confidence interval for the population standard deviation. Assume that the population has a normal distribution. 18) The weights of 14 men selected at random from one town have a mean, x, of 161.8 lb and a standard deviation, s, of 11.7 lb. Determine a 90% confidence interval for the standard deviation,, of the weights of all men from this town. A) 8.7 to 16.5 lb B) 9.2 to 15.1 lb C) 8.9 to 17.4 lb D) 9.5 to 2.7 lb 18) A sample standard deviation and sample size are given. Use the one-standard-deviation 2 -interval procedure to obtain the specified confidence interval. 19) s = 7, n = 13, 95% confidence interval 19) A) 5.02 to 11.555 B) 5.02 to 4.367 C) 1.039 to 5.506 D) 5.288 to 10.607 Find the confidence interval specified. Assume that the population is normally distributed. 20) Thirty randomly selected students took the calculus final. If the sample mean was 92 and the standard deviation was 8.8, construct a 99% confidence interval for the mean score of all students. A) 89.27 to 94.73 B) 88.04 to 95.96 C) 87.59 to 96.41 D) 87.57 to 96.43 20) Use a table of areas to obtain the shaded area under the standard normal curve. 21) 21) A) 0.9406 B) 0.0594 C) 0.8812 D) 0.1188 Find the required F-value. 22) An F-curve has df = (15, 24). Find the F-value having area 0.025 to its right. 22) A) 2.70 B) 2.44 C) 3.29 D) 2.11 Use a table of areas for the standard normal curve to find the required z-score. 23) Find the z-score for which the area under the standard normal curve to its left is 0.40 23) A) 0.57 B) -0.57 C) -0.25 D) 0.25 Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations. 24) 16, 13, 8, 14, 6, 4, 6 24) A) 9.6 B) 11.1 C) 9.1 D) 11.2 4
Answer Key Testname: 1342FINALEXAMREVIEWSUM2015 1) C 2) H0: The proportions of occurrences are all equal. H1: Those proportions are not all equal. Test statistic: 2 = 8.263. Critical value: 2 = 11.071. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency. 3) D 4) H0: The responses occur according to the stated percentages. H1: The responses do not occur according to the stated percentages. Test statistic: 2 = 5.146. Critical value: 2 = 9.488. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the responses occur according to the stated percentages. 5) D 6) C 7) D 8) A 9) D 10) B 11) C 12) D 13) B 14) C 15) D 16) B 17) B 18) C 19) A 20) D 21) C 22) B 23) C 24) A 5