A random sample of 127 observations produced a sample mean of 32. Find the critical and observed values of z for the following test ofhypothesis using α = 0.01. The population standard deviation is known to be 8 and the population distribution is normal.Ho: μ=28 versus H₁ μ # 28.Round your answers to two decimal places.Zcritical leftZcritical rightZobserved

Step 1:Given that :Sample size(n)=127Sample mean(xˉ)=32Population standard deviation(σ)=8The…

Answered: A random sample of 127 observations…

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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Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 545 and a standard deviation of 112 . If 16 men are randomly selected, find the probability that their mean score is at least 590. a. Define the parameter A. x overbar equals The mean score of 16 randomly selected men B. x overbar equals The score of a randomly selected man b. State the mean of x overbar : nothing c. State the standard deviation of x overbar : nothing (use 2 decimal places) d. Find the z-score: nothing (use 2 decimal places) e. Find the probability: nothing (use 4 decimal places)
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=72.1σ=72.1. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
Suppose you buy a new car whose advertised mileage is 20 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas mileage? Question content area bottom Part 1 a. z=enter your response here (Round to two decimal places as needed.)
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Beetles' weight has a normal distribution with mean of 85g and standard deviation of 6.4g. Suppose we repeatedly took random samples of 12 of these beetles. The percentage of samples that have a sample mean weight less than 83.2g is closest to: (You should use the empirical rules to estimate this percentage) A: 2.5% B: 85% C: 100% D: 15%
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You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.
The life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?
A biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is $209. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $215. Assume the population standard deviation is $24. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. The mean repair costs for Model A and Model B are equal. B. The mean repair cost for Model A is greater than Model B. C. The mean repair costs for Model A and Model B are different. D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…

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