A collar manufacturer is considering the production of a new style of collar to attractyoung men. The following statistics of neck circumferences are available based upon measurements of atypical group of college students:Mid-value(in inches)12.012.513.013.514.014.515.015.516.0No. of students216366076371832Compute the standard deviation and use the criterion X +30 where o is the standard deviation and Xis the arithmetic mean to determine the largest and smallest size of the collar he should make in order tomeet the needs of practically all the customers bearing in mind that collars are worn on an averageinchlonger than neck size.

Answered: Image /qna-images/answer/a8d1575c-c852-4073-8a16-dbd531ee1af3.jpg

Answered: A collar manufacturer is considering…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
Body mass index (BMI) is a medical screening tool that measures body fat in an individual based on height and weight. The following data sets include four random samples of BMI measurements. Each sample includes the measurements of 7 individuals. Use the range rule of thumb to estimate the standard deviation, then determine which sample has the most variation. Sample 1 25.8,39.2,32.2,18.7,22.7,28.8,25.4 Sample 2 24.5,33.3,31.7,45.9,23.4,28.2,25.8 Sample 3 30.8,19.2,29.9,25.6,28.8,31.0,27.3 Sample 4 31.8,23.9,29.1,52.6,23.6,31.1,20.6
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 50 ounces and a standard deviation of 4 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 46 and 58 ounces? c) What pagcentage of the widget weights lie below 62 ? % 34% 34% 2.35% 13.5% 2.35% 0.15% 13.5% -35 25 0.15% -1s 1s 25
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. 1.96,-1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fail to reject Ho. There is sufficient…
289 221 301 374 336 351 a)what is the standard deviation b) What is the first quartile and third quartile in this sample? c) What is the 43rd percentile of the data
The ASA softball association is interested in knowing the average pitching speed of a 12U fastpitch softball pitcher. A random sample of forty pitches is recorded. The average speed of the pitch is found to be forty-one mph with standard deviation two mph. a. What is the parameter of interest? b. What is the point estimate you would calculate to estimate the parameter? What is its value?
At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of μ=17.47 mm and a standard deviation of σ=1.95 mm. Complete parts (a) through (d) below. a. Find the percentage of the tarantulas that have a carapace length between 15mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is nothing %.
A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 stan deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have n length of 14 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) OA. A bolt will be destroyed if the length is less than OB. A bolt will be destroyed if the length is less than OC. A bolt will be destroyed if the length is greater than OD. A bolt will be destroyed if the length is between cm and cm or greater than cm. cm. cm. cm.
21. The mean number of gallons of gasoline pumped per customer at Ray's Marathon Station is 9.5 gallons with a standard deviation of 0.75 gallons. The median number of gallons pumped is 10.0 gallons. The arithmetic mean amount of time spent by a customer in the station is 6.5 minutes with a standard deviation of 2.0 minutes. a. According to Chebyshev's Theorem, what proportion (percent) of the customers spend between 3.30 minutes and 9.70 minutes at the station? a. b. According to the Empirical Rule, what proportion of the customers pump between 8.00 gallons and 11.00 gallons? b.

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