2. **Engineer Salaries**: Employees at a battery company claim that the mean salary of the company’s mechanical engineers is less than that of one of its competitors, which is $90,000. A random sample of 20 of the company’s mechanical engineers has a mean salary of $86,900. Assume the population standard deviation is $5500, and that the population is normally distributed. At the 5% significance level, test the employees’ claim.**ONLY ANSWER THE QUESTIONS BELOW. DO NOT ACTUALLY GO THROUGH A FULL HYPOTHESIS TEST.**(a) State the hypotheses. $ H_0 $ : $ H_1 $ : (b) Find the critical value(s). Draw a picture and show all your work.(c) Describe a type II error for a hypothesis test of the above hypotheses. Concluding: When in fact:(d) Suppose that the null hypothesis was not rejected. State the conclusion.

The hypothesized average salary (in $) of the company's mechanical engineers, μ0=90000.The sampled…

Answered: 2. Engineer Salaries: Employees at a…

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 bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
The WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a mean 110 and a standard deviation of 25. Scores for the 60-64 age group are normally distributed with a mean of 90 and a standard deviation of 25. Find the percent of 20-34-year-olds that have an IQ greater than 120. a. 16% b. z= 0.4 or 40% c. 0.6554 or 65.54% d. 0.3446 or 34.46%
The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.05 Juan 1.51 Haley −1.95 Joel 0.00 Jan −0.67 Linda 1.57 (a) If the mean score was ? = 151 with standard deviation ? = 16, what was the final exam score for each student?
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Answer.
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.
Two social scientists wanted to know if more violent crimes are committed when the temperature goes up. They measured the high temperature for each day during the year in Atlanta and compared the temperature for that day to the Police Department’s report for the number of violent crimes for that day. What statistical test should they use to analyze the data? a. Paired t-test b. Correlation c. One Way ANOVA d. Independent Samples t-test e. Chi Square Test of Independence
In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Ha? Ho: µ#37 O A. Ho: μz37 Oc. H3i µ 37 OB. Hai H=37 Hai us37 Ho: H = 37 Ha:µ 37 Ho: µ= 37 Ha: H#37 Find the test statistic. t= -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p (Type an integer or decimal rounded to three decimal places as needed.)

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