3. A manufacturing firm wants to determine if there is a difference in the pricescharged by two competing shipping companies. They sample shipping costs fromboth companies. Test at a 0.05 level of significance.Ho:Ha:Pooled variance2S₁²=MeanSAMPLE Standard Deviationncrit =stat =Decision:Sample 1$244.506252 tailsα =pvalue==Sample 2$239.7730

T-testThe t-test is one of the hypothesis tests which is used when the population standard deviation…

Answered: 3. A manufacturing firm wants to…

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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In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.
In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types if remodeling projects are as follows. Kitchen Master Bedroom 25.2 18.0 17.4 22.9 22.8 26.4 21.9 24.8 19.7 26.9 23.0 17.8 19.7 24.6 16.9 21.0 21.8 23.6 a. Compute the sample mean and sample standard deviation for each type of project. b. Develop a point estimate of the difference between the population mean…
A study was conducted to identify if there is a significant difference with two brands of shampoo. Random sample A of 25 sheets of shampoo with a mean content of 237 grams and standard deviation of 8.56 grams. Another sample B of 20 sheets pf shampoo showed a mean content of 240 grams and standard deviation of 9.75 grams. Using 0.05 level of significance, conduct hypothesis testing assuming that variances are equal.
Solve the problem based on the one-factor ANOVA analysis of variance methodology.Based on the information derived from the previous point, respond to the company's Director of Transport. Help yourself with the following questions: • Is there any difference in the times used to transport the cargo from the plant in CDMX to the AICM through the three recommended routes? • Are the standard deviations of each of the chosen pathways the same or different? If they are different, explain what this difference implies in statistical terms. • What type of statistical analysis will you use to answer the question? Justify your answer. • Which test statistic should you use? Why?
3) A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.61 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.05 level of significance. Assume normality. What is the P-value for the test? Give your answer to four decimal places
In an analysis investigating the usefulness of pennies, the cents portions of 86 randomly selected credit card charges from students are recorded, and they have a mean of 47.6 cents and a standard deviation of 33.1 cents. If the amounts from 0 cents to 99 cents are all equally likely, the mean is expected to be 49.5 cents and the population standard deviation is expected to be 28.866 cents. Use a 0.01 significance level to test the claim that the sample is from a population with a standard deviation equal to 28.866 cents. Complete parts (a) through (e) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=28.866 centsH1: σ≠28.866 centsB.H0: σ≠28.866 centsH1: σ=28.866 centsC.H0: σ=28.866 centsH1: σ>28.866 centsD.H0: σ≥28.866 centsH1: σ<28.866 centsPart 2b. Compute the test statistic.χ2=enter your response here(Round to three decimal places as needed.)Part 3c. Find the P-value of the test…
Two different brands of milk are randomly samples, and the fat content in each bottle of mild isdetermined. Twenty six bottles of Brand A yielded an average fat content of 26 grams with a standarddeviation of 5 grams, and 31 bottles of Brand B yielded an average fat content of 25.8 grams with astandard deviation of 7 grams. Test the hypothesis at the 10% level of significance that the variances are different.
If a researcher did not wish to assume homogeneity of variance for this analysis, which values would they report for the t-statistic, degrees of freedom, and p-value? Would the conclusions change?
In an analysis investigating the usefulness of pennies, the cents portions of 104 randomly selected credit card charges from students are recorded, and they have a mean of 47.6 cents and a standard deviation of 30.4 cents. If the amounts from 0 cents to 99 cents are all equally likely, the mean is expected to be 49.5 cents and the population standard deviation is expected to be 28.866 cents. Use a 0.025 significance level to test the claim that the sample is from a population with a standard deviation equal to 28.866 cents. Complete parts (a) through (e) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ≥28.866 centsH1: σ<28.866 centsB.H0: σ=28.866 centsH1: σ≠28.866 centsC.H0: σ=28.866 centsH1: σ>28.866 centsD.H0: σ≠28.866 centsH1: σ=28.866 centsPart 2b. Compute the test statistic.χ2=enter your response here(Round to three decimal places as needed.)Part 3c. Find the P-value of the test…
To compare customer satisfaction levels of two competing ice cream companies, 8customers of Company 1 and 5 customers of Company 2 ware randomly selectedand were asked to rate their ice creams on a five-point scale, with 1 being leastsatisfied and 5 most satisfied. The survey results are summarized in the followingtable:Company 1 Company 2?1=8 ?2=5?1̅̅̅̅=3.21 ?2̅̅̅̅=2.22?1= 0.31 ?2= 0. 21By assuming both equal variances and unequal variances:a. Construct an interval estimate at 95°/ confidence interval for difference of means of two ice cream companies.
To compare customer satisfaction levels of two competing ice cream companies, 8customers of Company 1 and 5 customers of Company 2 ware randomly selectedand were asked to rate their ice creams on a five-point scale, with 1 being leastsatisfied and 5 most satisfied. The survey results are summarized in the followingtable:Company 1 Company 2?1=8 ?2=5?1̅̅̅̅=3.21 ?2̅̅̅̅=2.22?1= 0.31 ?2= 0. 21By assuming both equal variances and unequal variances:a. Construct an interval estimate at 95°/ confidence interval for difference ofmeans of two ice cream companies

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