With individual lines at its various windows, a post office claimed that the variance for waitingtimes for customers on Friday afternoon is 3.2 minutes. On a Friday afternoon, the post office atBukit Baru tested the main waiting line for a random sample of 10 customers, the waiting times(in minutes) as shown below:109.509.409.309.259.359.210.110.059.55Is this a sufficient claim to conclude that the waiting time at post office of Bukit Baru is superiorto 3.5 minutes? Use a 0.05 level of significance. Write your decision.

The given information is- Population variance = 3.2 So, Population standard deviation = √3.2 =…

Answered: With individual lines at its various…

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 sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)
A company executive claims that employees in his industry get 100 junk emails per day. To further investigate this claim, the tech department of the company conducts a study. The executive selects a random sample of 10 employees and records the number of junk emails they received that day. Here are the data: 125, 101, 109, 94, 122, 92, 119, 90, 118, 122. The tech department would like to determine if the data provide convincing evidence that the true mean number of junk emails received this day by employees of this company differs from 100. What are the appropriate hypotheses? A. H0: p = 100 versus Ha: p ≠ 100, where p = the true proportion of junk emails received this day by employees of this company B. H0: p = 100 versus Ha: p > 100, where p = the true proportion of junk emails received this day by employees of this company C. H0: μ = 100 versus Ha: μ ≠ 100, where μ = the true mean number of junk emails received this day by employees of this company D. H0: μ = 100 versus Ha: μ…
Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2) Using the difference data, the sample mean difference was d = $850, and the sample standard deviation was så = $1,123. a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. Ho : μα ♦ Select your answer - Ha d + - Select your answer - b. Use a = = 0.05 level of significance. Can you conclude that the population means differ? - Select your answer - ◆ What is the p-value? (to 6 decimals) c.…
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
4)
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
A random sample of 25 Berkeley College students was asked, “How many hours per week typically do you work outside the home?” Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15} a. Find the mean, the median and the mode of hours worked outside the home for the sample data. Show all your work to justify your answer. b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent. Class Tally Frequency Relative Frequency 0-10 11-20 21-30 31-40 Total c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.

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