1. Read the following statement:"We have conducted a two-sided Z-test to assess the null hypothesis that the mean con-tents of soda cans is 330ml. The p-value of the test is 0.74, meaning that the probabilityof the null hypothesis statement being correct is 74%. As the p-value is much greaterthan the specified 5% type II error rate, it follows that the true mean soda can contentsis indeed 330ml."There are a number of inaccuracies in how the author has reported the findings of theirstatistical test. Identify and briefly explain the mistakes.

Given information: The results of a Z test are given.

Answered: 'We have conducted a two-sided Z-test…

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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i just cant seem to get these problems
What does it mean to say that there is a 1% chance of a Type I error?
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4764 miles, with a variance of 193,600. If he is correct, what is the probability that the mean of a sample of 34 cars would differ from the population mean by greater than 149 miles? Round your answer to four decimal places.
The mean points obtained in an aptitude examination is 179points with a variance of 225. What is the probability that the mean of the sample would differ from the population mean by less than 2.5 points if 77exams are sampled? Round your answer to four decimal places.
A certain magazine stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.1 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.1 seconds, what would you use for the null hypothesis? 04.1 O = 4.1 (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer Leadville (because of less oxygen). What would you use for the alternate hypothesis? OH 4.1 OM 4.1 O = 4.1 (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? OH> 4.1 O μ< 4.1 OH 4.1. (d) For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? O left; both O right; left O left; right O both; left
The personality variable extraversion is normally distributed in the population and has a mean of 10 and a standard deviation of 2. Researchers consider individuals who are 1 standard deviation above the mean “highly” extroverted. What is the probability that you can randomly sample 3 people from the population and all 3 would be “highly” extroverted?
The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60 and a standard deviation of about 15. What is the probability that a student will have a raw score that is more than 50?
The mean number of words per minute (WPM) read by sixth graders is 91 with a variance of 324. If 152 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 93.47 WPM? Round your answer to four decimal places. don't forget to round!
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880 What is the probability that the sample mean would differ from the population mean by less than778 miles in a sample of 143 tires if the manager is correct? Round your answer to four decimal places.
use the math problem uploaded to answer the question. Will you reject or fail to reject the null hypothesis? choose one: a) The P-Value is greater than the level of significance and so we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot. b) The P-Value is greater than the level of significance and so we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot. c) The P-Value is greater than the level of significance and so we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot. d) The P-Value is less than the level of significance and so we fail to reject the null hypothesis…
Suppose we are about to sample 200 values from a normally distributed population that has a mean of 120 and a standard deviation of 70. What is the 10th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and no extra characters or symbols.)

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