Mathematical Statistics with Applications
7th Edition
ISBN: 9781111798789
Author: Dennis O. Wackerly
Publisher: Cengage Learning
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Chapter 13.12, Problem 67E
To determine
Construct confidence intervals for all possible differences among treatment means so that the simultaneous confidence coefficient is at least 0.90.
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1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time.
a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.
The trade magazine QR routinely checks the drive-through service times of fast-food restaurants. A 99% confidence interval that results from examining 719 customers in Taco Bell's drive-through has a lower bound of 159. 1 seconds and an upper bound of 162.1 seconds. Complete parts (a) through (c).
Refer to Exercise 7.S.6. Construct a 95% confidence interval for the population mean reduction in stem length. Does the confidence interval indicate whether the effect of stress is “horticulturally important,” if “horticulturally important” is defined as a reduction in population mean stem length of at least
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Chapter 13 Solutions
Mathematical Statistics with Applications
Ch. 13.2 - The reaction times for two different stimuli in a...Ch. 13.2 - Prob. 2ECh. 13.4 - State the assumptions underlying the ANOVA of a...Ch. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Suppose that independent samples of sizes n1, n2,,...Ch. 13.4 - Four chemical plants, producing the same products...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - A clinical psychologist wished to compare three...
Ch. 13.4 - It is believed that women in the postmenopausal...Ch. 13.4 - If vegetables intended for human consumption...Ch. 13.4 - One portion of the research described in a paper...Ch. 13.4 - The Florida Game and Fish Commission desires to...Ch. 13.4 - Prob. 15ECh. 13.4 - An experiment was conducted to examine the effect...Ch. 13.5 - Prob. 17ECh. 13.5 - Refer to Exercise 13.17 and consider YiYi for i ...Ch. 13.5 - Refer to the statistical model for the one-way...Ch. 13.7 - Refer to Examples 13.2 and 13.3. a Use the portion...Ch. 13.7 - Refer to Examples 13.2 and 13.4. a Use the portion...Ch. 13.7 - a Based on your answers to Exercises 13.20 and...Ch. 13.7 - Refer to Exercise 13.7. a Construct a 95%...Ch. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.8 - Prob. 36ECh. 13.8 - Prob. 37ECh. 13.8 - Prob. 38ECh. 13.8 - Prob. 39ECh. 13.8 - Prob. 40ECh. 13.9 - Prob. 41ECh. 13.9 - The accompanying table presents data on yields...Ch. 13.9 - Refer to Exercise 13.42. Why was a randomized...Ch. 13.9 - Prob. 44ECh. 13.9 - Prob. 45ECh. 13.9 - Prob. 46ECh. 13.9 - Prob. 47ECh. 13.9 - Prob. 48ECh. 13.9 - Prob. 49ECh. 13.9 - Prob. 50ECh. 13.9 - Prob. 51ECh. 13.10 - Prob. 52ECh. 13.10 - Prob. 53ECh. 13.10 - Prob. 54ECh. 13.10 - Refer to Exercise 13.46. Construct a 95%...Ch. 13.10 - Prob. 56ECh. 13.10 - Prob. 57ECh. 13.11 - Prob. 58ECh. 13.11 - Prob. 59ECh. 13.11 - Prob. 60ECh. 13.11 - Prob. 61ECh. 13.11 - Prob. 62ECh. 13.12 - Prob. 63ECh. 13.12 - Prob. 64ECh. 13.12 - Prob. 65ECh. 13.12 - Prob. 66ECh. 13.12 - Prob. 67ECh. 13.12 - Prob. 68ECh. 13.13 - Prob. 69ECh. 13.13 - Prob. 70ECh. 13.13 - Refer to Exercise 13.42. Answer part (a) by...Ch. 13.13 - Refer to Exercise 13.45. Answer part (b) by...Ch. 13 - Prob. 73SECh. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 77SECh. 13 - A study was initiated to investigate the effect of...Ch. 13 - Prob. 79SECh. 13 - A dealer has in stock three cars (models A, B, and...Ch. 13 - In the hope of attracting more riders, a city...Ch. 13 - Prob. 84SECh. 13 - Prob. 85SECh. 13 - Prob. 86SECh. 13 - Prob. 87SECh. 13 - Prob. 88SECh. 13 - Prob. 89SECh. 13 - Prob. 90SECh. 13 - Prob. 92SECh. 13 - Prob. 94SE
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- A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is: A. 2.09302 B. 1.724718 C. 2.08596 D. 1.729133 E. none of the precedingarrow_forwardConstruct a 90% confidence interval for the true average cost of a 75 000 kilometre car service in Randburg, if it was found that a sample of 85 different service centres in the area charged an average of R2 180 for such a service. Assume a population standard deviation of R181.25.arrow_forwardIn a study of maternal cigarette smoking and bone density in newborns, 77 infants of mothers who smoked had a mean bone mineral content of 0.098 g/cm3 (s1 = 0.026 g/cm3). The 161 infants whose mothers did not smoke had a mean bone mineral content of 0.095 g/cm3 (s2 = 0.025 g/cm3). Calculate the 95% confidence interval for µ1 - µ2arrow_forward
- To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. a) Check that the assumptions are met for a confidence interval for proportions.arrow_forwardThe Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally representative online poll of 2,015 adults aged 18 and over. They found that 3.3% of the respondents identified as vegetarian. a. Construct and interpret a 95% confidence interval for the proportion of vegetarians. b. Explain why a 90% confidence interval for the proportion of vegetarians will be wider/narrower than the one in (a.) Construct the interval to confirm c. Explain why the interval will be wider/narrower than the one in (a) if the sample size changed to n=300. Construct the interval to confirmarrow_forwardIn monitoring lead in the air after an explosion at a battery factory, it is found that the amount of lead (in ug/m3) over a 6 day period had a standard error of 2.57. Find the margin of error that corresponds to a 95% confidence interval. arrow_forward
- A department store finds that in a random sample of 200 customers, 60% of the sampled customers had browsed its website prior to visiting the store. Based on this data, a 90% confidence interval for the population proportion of customers that browse the store’s website prior to visiting the store will be between _________________. 0.6588 and 0.6312 0.4528 and 0.5250 0.5960 and 6040 0.5978 and 0.6022 0.5430 and 0.6570arrow_forwardSuppose a researcher is interested in the effectiveness of a new drug intended to naturally increase hours of sleep for elderly patients experiencing insomnia. Suppose he collects information from a group of 64 patients and calculates a σ=.8 and a sample average of 6.4 hours of sleep. Is there sufficient evidence to reject the null hypothesis that his treatment is ineffective at increasing hours of sleep above 5 hours with 95% confidence?arrow_forwardTwo men, A and B, who usually commute to work together decide to conduct an experiment to see whether one route is faster than the other. The men feel that their driving habits are approximately the same, so each morning for two weeks one driver is assigned to route I and the other to route II. The times, recorded to the nearest minute, are shown in the following table. Using this data, find the 95%confidence interval for the true mean difference between the average travel time for route I and the average travel time for route II. Let d=(route I travel time)−(route II travel time)d=(route I travel time)−(route II travel time). Assume that the populations of travel times are normally distributed for both routes. Day M Tu W Th F M Tu W Th F Route I 32 24 28 29 31 29 35 32 24 26 Route II 31 27 24 33 33 33 34 28 23 28 Step 1 of 4: Find the mean of the paired differences, d‾. Round your answer to one decimal place. Step 2 of 4: Find the critical value that should be used in…arrow_forward
- A poll for the presidential campaign sampled 491 potential voters in June. A primarypurpose of the poll was to obtain an estimate of the proportion of potential voters whofavored each candidate. Assume a planning value of p* = .50 and a 95% confidencelevel.a. For p* = .50, what was the planned margin of error for the June poll?arrow_forwardAn automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.arrow_forward3. A meteorologist who sampled 13 thunderstorms found thatthe average speed at which they traveled across a certain state was 15miles per hour. The standard deviation of the sample was 1.7 miles perhour. Find the 99% confidence interval of the mean. If a meteorolo-gist wanted to use the highest speed to predict the times it would takestorms to travel across the state in order to issue warnings, what figurewould she likely use? Assume the variable is normally distributed.arrow_forward
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