The mean weight of shipping containers issupposed to be no more than 11.7 kg. To testwhether or not this value has since increased, arandom sample of size 290 containers areweighed and found to have a sample mean of12.1 kg.We will assume that the population of containerweights is normally distributed with standarddeviation of 3.7 kg.Test whether the mean population weight hasincreased at a level of significance of 0.5%. Showyour relevant steps below.Step 1: Hypotheses:• The null hypothesis Ho is (choose one):u = 3.7 OH = 11.7 OH = 12.1u = 290.0• For the alternative hypothesis Ha we changethe equal sign in Ho to (choose one):Step 2: Rejection Region:The rejection region is bounded by the followingcritical values:Critical z valuete

Answered: Image /qna-images/answer/de729f13-3ecd-4030-baf1-694a36d65106.jpg

Answered: The mean weight of shipping containers…

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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Similar questions

Matthew wants to estimate the mean fat content of a pack of potato chips manufactured by UniBee Foods. He wants to be 90% confident that the estimate is accurate within 0.5 mg. Old records showed a 1.2 mg standard deviation. What should be the minimum sample size that he needs to construct this estimate?
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 242samples is 5.2 ppm with a variance of 1.001.00. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Is the data accurate (mean = 97% of true value or 2% error) or precise (sd < 0.1)? If not, give ONE possible source of error.
A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with a mean of 1.5oz. And a standard deviation of 0.4oz, approximately how many eggs would you expect to weigh more than 2oz?
A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the 69th percentile of x.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.97.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 2424 samples is 8.18.1 ppm with a variance of 0.250.25. Does the data support the claim at the 0.10.1 level? Assume the population distribution is approximately normal. Step 3 of 5: Specify if the test is one-tailed or two-tailed.
Consider a normally distributed population with a mean of 196 and a standard deviation of 20. Find the value from this population that gives the 0.195 percentile. (Please round your answer to one decimal place, e.g. 0.6.)
The Army reports that the distribution of head circumferences among male soldiers is approximately normal with μ =22.8 inches and σ = 1.1 inches. What is the circumference of a soldier whose head is 2.34 standard deviations above the mean?
The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84. Sample size is given to be 16.
Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%
A normally distributed random variable has a mean of 449. If a score of 433 lies two standard deviations below the mean, find the variance of X.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 24 samples is 8.1 ppm with a variance of 0.25. Does the data support the claim at the 0.1 level? Assume the population distribution is approximately normal. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

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