2. Workers in a large service industry have an average wage of $13.00 per hourwith a standard deviation of $0.50. The industry has 64 workers of certainethnic group. These workers have an average wage of $12.80 per hour. Is itreasonable to assume that the wage rate of the ethnic group is equivalent tothat of a random sample of workers from those employees in the serviceindustry?

Given : sample size, n =64 sample mean, x̄ =12.80 population standard deviation,σ=0.50…

Answered: 2. Workers in a large service industry…

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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4.
20) The weight of potato chips dispensed into a 48-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 48.5 ounces and a standard deviation of 0.2 ounce. What proportion of the 48-ounce bags contain more than the advertised 48 ounces of chips? pick one a .4938 b .0062 c .9938 d .5062
13. The manager of a rent-a-car business want to know whether the true average numbers of cars rented a day is 25 with a standard deviation of 6.9 rentals. A random sample of 36 days was taken and found to have an average of 22.8 rentals. Test at 0.05 level of significance. n=?
1) The average amount of rainfall in Puerto Rico during the past month was 3.5 inches, according to the National Meteorology Center. Suppose that a normal distribution can be used and that the standard deviation is 0.8 inches. to. What percentage of the time last month's rainfall was greater than 4 inches? b. What percentage of the time was the rainfall less than 3 inches? c. A month is considered extremely wet if the rainfall is 10% higher for that month. How much rainfall must be in April for it to be considered an extremely wet month?
10. Angler magazine is seeking a representative sample of outdoor recreational enthusiasts to conduct a survey of its subscribers’ recreational plans for the next fishing season.On average, the population mean number of fishing days for subscribers is 21.6 days per season with a population standard deviation of 30.2 days. If Angler collects a sample of 56 respondents, what is the chance that the sample mean would be more than than 17 days per season?
3. Based on information from the U.S. Census Bureau, the mean travel time to work (mins), for all workers 16 years and older was 25.3 minutes. A large company with offices in several states randomly sampled 100 of its workers to ascertain their commuting times. The sample mean was 23.9 minutes, and the population standard deviation is 6.39 minutes. At the level of significance, can it be concluded that the mean commuting time is less for this particular company? H. : H :
12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?
2. A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver. An amateur driver completes 10 timed laps of the test track with an average lap time of 140 seconds. If the standard deviation of all lap times at this track is 4.5 seconds, what is the value of the test statistic? Round your answer to two decimal places. Answer value Please show work!!!
1)The analysis of the results of budget survey of 150 families gave an average monthly expenditure of $ 120 on food items with a standard deviation of $15. After the analysis was completed it was noted that figure recorded for one house-hold was wrongly taken as $15 instead of $ 105. Determine the correct value of the average expenditure and its standard deviation.
15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?
10. In a study conducted to determine the role that sleep disorders play in academic performance, researcher Jane Gaultney conducted a survey of 503 randomly selected students with a known sleep disorder (such as narcolepsy, insomnia, or restless leg syndrome) and found their mean GPA was 2.65 with a standard deviation of 0.87. Similarly, she randomly selected 1342 students with no known sleep disorders, and found their mean GPA to be 2.82 with a standard deviation of 0.83. You may assume that both population GPA's are normally distributed. Use a significance level of 0.05 to test whether the two groups have different mean GPA's. As a follow-up, construct and interpret a 95% confidence interval for the true difference in the mean GPA's of the two groups. What would be the type I and type II errors for this problem?
5. The heights of a pediatricians three-year-old females are approximately normally distributed, with mean 38.72 inches and standard deviation 3.17 inches. Find the height of a three-year-old female at the 42nd percentile.

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