BASIC BUSINESS STATISTICS-STUD.SOLN.MAN
14th Edition
ISBN: 9780134685045
Author: BERENSON
Publisher: PEARSON
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Chapter 8, Problem 53PS
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To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
Twin Pair
1
2
3
4
5
6
School A
169
157
115
99
119
113
School B
123
157
112
99
121
122
Twin Pair
7
8
9
10
11
12
School A
120
121
124
145
138
117
School B
153
90
124
140
142
102
Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…
A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly.
Method A
25
23
39
29
37
20
Method B
41
21
46
42
24
44
Method A
45
35
27
31
34
49
Method B
26
43
47
32
40
Use a rank-sum test with a5% level of significance to test the claim that there is no difference between the training sessions distributions. If the value of the sample test statistic R, the rank-sum, is 150, calculate the P-value. Round your answer to four decimal places.
A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales.
Person
1
2
3
4
5
6
x rank
8
11
2
4
5
3
y rank
7
10
1
3
2
4
Person
7
8
9
10
11
x rank
7
9
10
1
6
y rank
8
11
9
6
5
Using a 1% level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). Verify that the Spearman rank correlation coefficient . This implies that the P-value lies between 0.002 and 0.01. State…
Chapter 8 Solutions
BASIC BUSINESS STATISTICS-STUD.SOLN.MAN
Ch. 8 - If X=85, =8,andn=64, construct a 95 confidence...Ch. 8 - If X=125,=24,andn=36, construct a 99 confidence...Ch. 8 - Why is it not possible in Example 8.1 on page 280...Ch. 8 - Is it true in Example 8.1 on page 280 that you do...Ch. 8 - A market researcher selects a simple random sample...Ch. 8 - Suppose that you are going to collect a set of...Ch. 8 - Consider the confidence interval estimate...Ch. 8 - You are working as an assistant to the dean of...Ch. 8 - A bottled water distributor wants to estimate the...Ch. 8 - The operations manager at a light emitting diode...
Ch. 8 - If X=75,S=24,andn=36, and assuming that the...Ch. 8 - Determine the critical value of t in each of the...Ch. 8 - Assuming that the populations is normally...Ch. 8 - Assuming that the population is normally...Ch. 8 - A marketing researcher wants to estimate the mean...Ch. 8 - A survey of nonprofit organizations showed that...Ch. 8 - The U.S. Department of Transportation requires...Ch. 8 - The file FastFood contains the amount that a...Ch. 8 - The file AirportRating contains the rating of...Ch. 8 - The annual NFL Super Bowl is the most widely...Ch. 8 - Is there a difference in the yields of different...Ch. 8 - One of the major measures of the quality of...Ch. 8 - A manufacturing company produces electric...Ch. 8 - The file MobileCommerce contains mobile commerce...Ch. 8 - One operation of a mill is cut pieces of steel...Ch. 8 - Ifn=200andX=50, Construct a 95 confidence interval...Ch. 8 - ifn=400andX=25, Construct a 99 confidence interval...Ch. 8 - A cellphone provider has the business objective of...Ch. 8 - In a survey of 1,003 adults concerning complaints...Ch. 8 - What do you value most when shopping in a retail...Ch. 8 - In a survey of 823 human resource professionals...Ch. 8 - A Pew Research Center survey of 4,787 adults found...Ch. 8 - What business, economic, policy and environmental...Ch. 8 - If you want to be 95 confident of estimating the...Ch. 8 - If you want to be 99 confident of estimating of...Ch. 8 - If you want to be 99 confident of estimating the...Ch. 8 - If you want to be 95 confident of estimating the...Ch. 8 - A survey is planned to determine the mean annual...Ch. 8 - If the manager of a bottled water distributor...Ch. 8 - If a light bulb manufacturing company wants to...Ch. 8 - If the inspection division of a county weights and...Ch. 8 - An advertising media analyst wants to estimate the...Ch. 8 - An advertising media analyst wants to estimate the...Ch. 8 - A growing niche in the restaurant business is...Ch. 8 - What does brand loyalty mean to consumers?...Ch. 8 - A Federal Reserve Bank of Atlanta report looks at...Ch. 8 - In a study of 443 nonprofits nationwide, 130...Ch. 8 - Cybersecurity is a critical business issue that...Ch. 8 - Personal data is the new currency of the digital...Ch. 8 - Why can you never really have 100 confidence of...Ch. 8 - When should you use the t distribution to develop...Ch. 8 - Why is it true that for a given sample size, n an...Ch. 8 - Why is the sample size needed to determine the...Ch. 8 - GlobalWablndex study noted the percentage of...Ch. 8 - How do smartphone owners use their smartphones...Ch. 8 - A market researcher for a consumer electronics...Ch. 8 - An information technology (IT) provider of cloud...Ch. 8 - The human resource (HR) director of a large...Ch. 8 - A national association devoted to HR and workplace...Ch. 8 - The financial impact of IT system downtime is a...Ch. 8 - The branch manager of an outlet (Store 1) of a...Ch. 8 - Scarlett and Heather, the owners of an upscale...Ch. 8 - The manufacturer of Ice Melt claims that its...Ch. 8 - Claims fraud (illegitimate claims) and buildup...Ch. 8 - A quality characteristic of interest for a...Ch. 8 - Call centers today play an important role in...Ch. 8 - The manufacturer of Boston and Vermont asphalt...Ch. 8 - The manufacturer of Boston and Vermont asphalt...Ch. 8 - Referring to the results in Problem 8.66...
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- Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2? arrow_forwardSand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2?arrow_forward29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.arrow_forward
- Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 27.3 34.6 30.6 27.8 33.4 31.5 27.3 31.2 32.0 24.7 24.4 28.2 Test this sequence for randomness about the median. Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives BAABAABAABBB. Verify that the number of runs is 7, the lower critical number is 3, and the upper critical number is 11. Use a 5% level of significance. State the conclusion of the test and interpret your results.arrow_forward29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.arrow_forwardPlease solving problem2 Problem1 We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.arrow_forward
- Problem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…arrow_forwardWhat is the standard scores associated to the left of z is 0.1446arrow_forwardNote: The purpose of this problem below is to use computational techniques (Excelspreadsheet, Matlab, R, Python, etc.) and code the dynamic programming ideas seen inclass. Please provide the numerical answer to the questions as well as a sample of yourwork (spreadsheet, code file, etc.).We consider an N-period binomial model with the following properties: N = 60, thecurrent stock price is S0 = 1000; on each period, the stock price increases by 0.5% whenit moves up and decreases by 0.3% when it moves down. The annual interest rate on themoney market is 5%. (Notice that this model is a CRR model, which means that thebinomial tree is recombining.)(a) Find the price at time t0 = 0 of a (European) call option with strike price K = 1040and maturity T = 1 year.(b) Find the price at time t0 = 0 of a (European) put option with strike price K = 1040and maturity T = 1 year.(c) We consider now, that you are at time t5 (i.e. after 5 periods, which represents 1month later). Assume that the stock…arrow_forward
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