Nestle Philippines wants to estimate the average annual milk consumption in a province. A random sample of 16 peopleresulted in an average annual consumption to be 60 gallons with a standard deviation of 20 gallons. Assume that thepopulation distribution is normal.a) What is the value of the population mean? What is the best estimate for this value?b) Explain why we need to use the t distribution. What assumption(s) do we need to make?c) For a 90% confidence interval, what is the value of t?d) Develop the 90% confidence interval for the population mean. Interpret your results.Interpretation:e) Would it be reasonable to conclude that the population mean is 63 gallons?

Answered: Image /qna-images/answer/e4cba94c-bead-496f-8657-25a8e04de346.jpg

Answered: Nestle Philippines wants to estimate…

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 medical doctor who wanted to study the heights of adult men and women took a random sample of 150 adult men and 120 adult women and found the following summary results. Mean Height Standard Deviation Adult Men 170cm 8cm Adult Women 164cm 6cm Find a 90% confidence interval for the difference of mean height of adult men and women.
You may need to use the appropriate appendix table or technology to answer this question. The U.S. Energy Information Administration (US EIA) reported that the average price for a liter of regular gasoline is $0.78. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.06 for the price of a liter of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.04. (b) The desired margin of error is $0.03. (c) The desired margin of error is $0.01.
Find the sample size required to estimate the mean IQ of all college students. Assume we want a 90 per cent confidence level that the sample mean is within 2 IQ points of the true population mean. Also assume that the population standard deviation is 15 IQ points.
Find the 90% confidence interval for the variance and standard deviation of the ages of students at Arcanum high school if a sample of 24 students has a standard deviation of 2.3 years. Assume the variable is normally distributed.
You measure 38 textbooks' weights, and find they have a mean weight of 58 ounces. Assume the population standard deviation is 3.9 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight .
You would like to estimate the variance of sick days at a Fortune 500 company. You randomly select 15 employees and record how many sick days they have used in the past year and you get a sample standard deviation of 1.2. Provide a 95% confidence interval estimate of the population variance.
An farmer is convinced that the weighing instrument for palay had a variability measured by standard deviation equal to 2. He recorded the measurements 4.1, 6.5, 5.2 and 10.2. Do these data confirm or disprove his assertion? Use a 95% confidence level.
The mean length of 25 newly hatched iguanas is 7.47 inches with a standard deviation of 0.77 inches. Assume that the lengths of all newly hatched iguanas are normally distributed. Step 1 of 2 : Calculate the margin of error for a 98% confidence interval. Round your answer to two decimal places.
You measure 31 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 3.8 ounces. Based on this, construct a 95% confidence interval for the true population mean backpack weight.

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