A company is interested in finding out if there is any difference in the average salary received bymanagers of two divisions. Accordingly samples of 12 managers in the first division and 10 managers inthe second division were selected at random. The results are given below :I divisionIl divisionSample size1210Average monthly salaryStandard deviation1250011200320480Apply t-test to find out whether there is a significant difference in the average salary.

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Answered: A company is interested in finding out…

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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2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees…
Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 18 wheels of Gouda and finds the mean is 1.3 lb with a standard deviation of 0.3 lb; she then randomly samples 10 wheels of Brie and finds a mean of 0.95 lb and a standard deviation of 0.21 lb. What is the df and p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)
Salvatore, as the director of a regional bank, is concerned about the wait times of customers at the four branches. He randomly selects 48 patrons at each branch and records the waiting time for each patron. The results of the samples are shown below. The Alvrine branch has a mean waiting time of 13.49 minutes with a standard deviation of 1.97 minutes.The Durham branch has a mean waiting time of 12.61 minutes with a standard deviation of 2.89 minutes.The Hanover branch has a mean waiting time of 11.06 minutes with a standard deviation of 2.46 minutes.The Mascomonet branch has a mean waiting time of 12.89 minutes with a standard deviation of 3.12 minutes.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]
In an effort to determine which company between Primacom Outsourcing Company and Technica Global Services has better customer service, an independent survey group gathered data on the length of time (in minutes) a customer has to wait on hold before someone answers the phone when calling the customer care hotline for assistance. The data is summarized below. Statistics Primacom Outsourcing Company Technica Global Services Mean 8.14 9.426 Standard Deviation 1.345 1.813 Sample Size 7 7 Is there a significant difference between the average lengths of time customers are on hold for the two companies? Use a 5% level of significance. Assume that the lengths of time on hold are normally distributed with unknown but equal population variances. A. Perform a complete test of hypothesis. B. Select here the conclusion for this test of hypothesis. There is a significant difference between the average lengths of time customers are on hold for the two companies. There is no significant difference…
Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 5.98 5.50 20.54 3.03 6.46 Identify the null and alternative hypotheses. Ho: H 14 H₁: μ 14 (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.) 7.45 12.01 20.47 11.48 17.53 D S Vi I. (1,0) More
Unoccupied seats on flights cause airlines to lose revenue. As an intern in the finance department for Sunrise Airways, Garrett is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 320 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 15.6 seats and the standard deviation is 4.6 seats. Construct a 99% confidence interval for the population mean number of unoccupied seats per flight during the past year. If necessary, round results to 1 decimal places.
A company that owns and services a fleet of cars for its sales force has found that the service lifetime of disc brake pads varies from car to car according to a normal distribtion with mean = 55900 miles and standard deviation = 4675 miles. The company installs a new brand of brake pads on 13 cars. a.) If the new brand has the same lifetime distribution as the previous type, what is the distribution of the sample mean lifetime for the 13 cars? Mean = __________miles Standard Deviaiton =______________miles b.) The average life of the pads on these 13 cars turns out to be xbar=52300 miles. What is the probability that the sample mean lifetime is 52300 miles or less if the lifetime distribution is unchanged? (The company takes this probability as evidence that the average lifetime of the new brand of pads is less than 55900 miles.)
Unoccupied seats on flights cause avrlines to lose revenue. As an intern in the finance department for Golden Ticket Airlines, Carlos is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 222 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 18 seats and the standard deviation is 2.5 seats. Construct a 80% confidence interval for the population mean number of unoccupied seats per flight during the past year. If necessary, round results to 1 decimal places.
Unoccupied seats on flights cause airlines to lose revenue. As an intern in the finance department for Skyline Airways, Rebecca is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 231 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 14.7 seats and the standard deviation is 3.4 seats.Construct a 90% confidence interval for the population mean number of unoccupied seats per flight during the past year.If necessary, round results to 1 decimal places.

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