Q2) A college admission officer for an MBA program has determined that historically applicantshave undergraduate grade point averages that are normally distributed with a population standarddeviation of 0.60. Suppose that from a random sample of 20 applications from the current year,the sample mean grade point average is 2.95.a) What is the name of the variable? What is the point estimate of the population mean?b) Construct a 90% confidence interval estimate for the population mean grade point average.c) Write a summary based on your findings of b) using the graphical approach.

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Answered: Q2) A college admission officer for an…

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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Salaries of 46 college graduates who took a statistics course in college have a mean, x, of $61,400. Assuming a standard deviation, σ, of $19,045 , construct a 90% confidence interval for estimating the population mean.
Suppose a sample of 30 students are given an IQ test. The sample has a standard deviation of 12.23 points. Assuming IQ test score follow a normal distribution, suppose the researcher wishes to obtain a 90% confidence interval for the population standard deviation.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
The mean potassium content of a popular sports drink is listed as 132 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 131.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content.. a. Ho: μ= 132 mg vs. H₁: b. He: ≤132 mg vs. H₁: c. He: ≥132 mg vs. H₁: Oa Ob Oc (b) Assuming a known standard deviation of 2.1 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic 132 mg >132 mg <132 mg (c) At the 2 percent level of significance (a = .02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ho
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.
2. A common claim is that garlic lowers cholesterol levels. In a test of the effectiveness of garlic, 49 subjects were treated with doses of raw garlic, and their cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol have a mean of 0.4 and a standard deviation of 21. Use the sample n = 49 to construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. n=49₁ x=0,4₁ 5=21₁ CL = 95%, df=n-1 df=49-1=48
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14.) A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 146 adult female American alligators from the Everglades was found to be 217 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 16 pounds.Using a 96% confidence level, determine the margin of error, EE, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E= ___A 96% confidence interval is given by ___
1- A researcher makes a research about the life time of batteries which have a normal distribution. In order to understand the life time of batteries s/he randomly selected 49 batteries and calculate the sample mean as 48 hours and standard deviation of 5 hours. Construct 90 % confidence interval for the true population mean of life time of batteries.
In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/dL) have a mean of 3.2 and a standard deviation of 18.5. Complete parts (a) and (b) below. a) What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? b) Construct a 90% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean μ?
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12 years old. What type of test should you use? A) z-test for population mean B) t-test for population mean C) z-test for population proportion
3. a researcher sampled 50 doctors to obtain a mean of 145,580 pesos, and standard deviation of 13,200 pesos. Construct a 95% confidence interval to estimate the yearly average income of doctors.

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