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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The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1169 $2285 $1490 $466 $1948 $926 ... Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. O A. $1169 B. $1490 O C. $466 D. $1948 E. $2285 F. $926
The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
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A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1550 $2291 $1995 $378 $1580 $1747 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $1747 B. $378 C. $1580 D. $1550 E. $2291 F. $1995 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $1580 B. $1747 C. $2291 D. $378 E. $1550 F. $1995 G. None of the data values are very unusual.
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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.

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