A researcher reports that the average salary of assistant professors in a certain state is $42,000. Arandom sample of 30 assistant professors in that state has a mean salary of $43.260 and a standarddeviation of $5230. Assuming that the population is normally distributed, use the graphingcalculator to find the P-value.(Round answer to two decimal places.)

Hypothesized Population Mean, μ0 = $42000 Sample size, n = 30 Sample mean , x¯ = 43260 sample…

Answered: A researcher reports that the average…

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 amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let X be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work.
In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 19 with a standard deviation of 18 days. Assume the data to be approximately bell-shaped. Approximately 95% of all customer accounts have the average number of days between two values A and B. What is the value of B? Write only a number as your answer.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The 2011 gross sales of all firms in a large city have a mean of $2.4 million and a standard deviation of $ 0.6 million. Using Chebyshev's theorem, find at least what percentage of firms in this city had 2011 gross sales of $1.2 to $3.6 million. Round your answer to the nearest whole number. Enter your answer in accordance to the question statement %
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Pg, the 8th percentile. This is the bone density score separating the bottom 8% from the top 92%. Which graph represents Pg? Choose the correct graph below. O D. C. О в. O A. P8 P8 P8 P8 The bone density score corresponding to Pg is- (Round to two decimal places as needed.) Click to 3. 3.
Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 20.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $8000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at most $50,000. Round your answer to at least four decimal places.
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 19.1. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph. The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 317. The test scores of four students selected at random are 1900,1200,2200,and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard deviation 22.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)

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