10. A study investigates the difference in sleeping habits of university students in general Arts andScience programs. Students from each population are selected at random and asked how muchsleep they got the night before.ProgramArtsScienceSample size30148Mean7.666.81Standard Deviation1.341.73a) Find a 95% confidence interval for the difference in the mean amounts of sleep that studentsfrom these two populations receive. (Assume that d.f. = 50).[4]b) Based on this interval, can we conclude that there is a significant difference in the meanamount of sleep that each of these two populations get?(1]

There are two independent samples which are arts and science. We have to construct 95% confidence…

Answered: 10. À study investigates the difference…

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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B4. Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Incorporated. Commissions 4.5 16.9 15.1 6.3 17.4 7.6 18.9 10.9 22.3 b) Determine the first and third quartiles. 12.1 35.5 13.6 43.2 14 79.1 a) Determine the mean, median, and standard deviation. (Enter your answers in thousands and round your answers to 2 decimal places.) c) Determine the coefficient of skewness using Pearson's method. (Round your answer to 3 decimal places.) d) Determine the coefficient of skewness using the software method. (Round your answer to 3 decimal places.) e) What do you conclude about the shape of the distribution of commissions? mild positive skewness or mild negative skewness?
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%?
1
2. University researchers claim that the average enrollment at four-year colleges is higher than two-year community colleges. Two surveys are undertaken at 35 four-year universities and 35 two-year colleges. The mean enrollment at the four-year institutions was 5,466 with a standard deviation of 8,191. The average enrollment at the two-year schools was 5,068 with a standard deviation of 4,777. Using a 95% confidence level, are the findings of the surveys consistent with the university researchers’ claim? 2. Does the null hypothesis reject H0 or fail to reject H0?
1) Is the test significant? A. Unable to determine B. No, p = .448 C. Yes, p = <. 001 D. Yes, p = .448 2) In order to determine where the main mean differences lie, the researcher would also need to conduct a ____? A. Correlation B. MANOVA C. post-hoc analysis D. t-test
When students use the bus from their dorms, they have an average commute time of 8.263 minutes with standard deviation 2.9321 minutes. Approximately 75.67% of students reported a commute time greater than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 6.22 2) 2.28 3) 14.24 4) 10.3 5) We do not have enough information to calculate the value.
4. A fire extinguisher salesman would like to estimate the mean number of home fires started by candles each year. He obtained fire data for seven randomly selected years from the National Fire Protection Agency. His sample produced a mean of 7041 fires with a standard deviation of 1600. Create the 90% confidence interval of interest.
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.3 hours.Use the Empirical Rule to answer the following questions.a) 68% of the students spend between ? hours and ? hours on Statistics each week.b) 95% of the students spend between ? hours and ? hours on Statistics each week.c) 99.7% of the students spend between ? hours and ? hours on Statistics each week.
You conduct a between-subjects ANOVA investigating whether different states produce tastier cheeses. You find that eta-squared is .50. What does this tell you? a. The effect size is small. b. 50% of the total variance in tastiness is due to differences between the states. c. The difference between the group means is .50 standard deviations. d. All of the above
27. In a random sample of six mobile devices, the mean repair cost was $65.00 and the standard deviation was $14.00. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 90% confidence interval for the population mean. Interpret the results.
Managers of an industrial plant want to determine which of two types of fuel, gas or electric, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 10 plants using electricity, which had a mean cost per unit of $53.50 and standard deviation of $8.19 , and 11 plants using gas, which had a mean of $55.40 and standard deviation of $8.23 . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean cost per unit for plants using electricity, μ1 , and the mean cost per unit for plants using gas, μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least…

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