Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 11 vegetarianchildren that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.3 inches. The average height for all six-year-old childrenis 45.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.01 that six-year-old vegetarian children are not the sameheight as other six-year-old children. Assume the population is normally distributed.Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.

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Answered: Researchers studying the effects of…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question: In a survey of buying habits, 400 women shoppers are chosen at random in super market 'A' located in a certain section of the city. Their average weekly food expenditure is dollar 250 with a standard deviation of Dollar 40. For 400 women shoppers chosen at random in super market 'B' in another section of the city, the average weekly food expenditure is Dollar 220 with a standard deviation of Dollar 55. Test at 1% level of significance whether the average weekly food expenditure of the two populations of shoppers are equal.
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1,200 people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016. a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995? Margin of error (to four decimal places) Interval estimate to (to four decimal places) b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016? Margin of error = (to four decimal places) Interval estimate = to (to four decimal places) c. Is the margin of error the same in parts (a) and (b)? - Select your answer v Why, or why not?
Question: In a certain factory there are two independent processes manufacturing the same item. The average weight in a sample of 250 items produced from one process is found to be 120 ozs. with a standard deviation of 12 ozs. while the corresponding figures in a sample of 400 items from the other process are 124 and 14. Obtain the standard error of difference between the two sample means. Is this difference significant ? Also find the 99% confidence limits for the difference in the average weights of items produced by the two processes respectively.
Using traditional methods it takes 94 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 120 students and observed that they had a mean of 92 hours. Assume the population standard deviation is known to be 8. Is there evidence at the 0.05 level that the technique reduces the training time? Step 4 of 6 Find the P-value of the test statistic. Round your answer to four decimal places.
Harry's Hamburgers claims that the residents of Harryville eat at the hamburger chain an average of exactly 18 times per year. You took a sample of 48 residents of Harryville and found that the sample mean was 17. The sample standard deviation was 4.5. You want to test to see if Harry's claim can be disputed with a significance level of 0.05. For each number in the problem, give the appropriate mathematical symbol associated with that number: 18 =
In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 2 of 4 : Find the critical value that should be used in constructing the confidence interval.
Question: Godrej soap manufacturing company was distributing a particular brand of soap through a large number of retail shops. Before a heavy advertisement campaign, the mean sales per week per shop was 140 dozens. After the campaign, a sample of 26 shops was taken and the mean sales was found to be 147 dozens with standard deviation 16. Can you consider the advertisement effective?
1. The manager at Bell's Gym wants to know the proportion of members who use the Cardio Machines. A sample of 260 members showed that 40 of them use cardio machines. Calculate a 97% confidence interval for the proportion of members who use the cardio machines.
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In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 1 of 4 : Find the values of the two sample proportions, pˆ1�^1 and pˆ2�^2. Round your answers to three decimal places.
8.1.2 If X = 148, o = 27, and n = 30, construct a 99% confidence interval estimate of the population mean, u. (Round to two decimal places as needed.)
Claim: The mean systolic blood pressure of all healthy adults is less than than 123 mm Hg. Sample data: For 275 healthy adults, the mean systolic blood pressure level is 122.96 mm Hg and the standard deviation is 15.62 mm Hg. The null and alternative hypotheses are Ho: μ = 123 and H₁: μ< 123. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)

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