**Business Weekly conducted a survey of graduates from 30 top MBA programs.** On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $183,000. Assume the standard deviation is $36,000. Suppose you take a simple random sample of 15 graduates. **Round all answers to four decimal places if necessary.**a. What is the distribution of $X? \quad X \sim N(\underline{\hspace{2cm}}, \underline{\hspace{2cm}})$b. What is the distribution of $\bar{x}? \quad \bar{x} \sim N(\underline{\hspace{2cm}}, \underline{\hspace{2cm}})$c. For a single randomly selected graduate, find the probability that her salary is between $176,057 and $182,005. $\underline{\hspace{2cm}}$d. For a simple random sample of 15 graduates, find the probability that the average salary is between $176,057 and $182,005. $\underline{\hspace{2cm}}$e. For part d), is the assumption of normal necessary? $ \bigcirc$ Yes $ \bigcirc$ No

Given n=sample size=15, mean μ=183000, standard deviations σ=36000 Note:: According to Bartleby…

Answered: Business Weekly conducted a survey of…

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 state test scores for 12randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 1428 1228 980 698 725 831 723 742 550 624 1446 946 (a) Find the sample mean. x=enter your response here (Round to one decimal place as needed.)
You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution 20 18 17 22 18 You want to determine whether or not the mean of the population from which this sample was taken is equal to 21. Determine the test statistic value?
d) Which number of minutes per day represents the 70th percentile? (Round to the nearest whole number as needed.)
Find the margin of error for the given values of c, s, and n. c= 0.98, s = 4, n = 28 Click the icon to view the t-distribution table. The margin of error is (Round to one decimal place as needed.)
In an effort to cut costs and improve profits, many US companies have been turning to outsourcing. In fact, according to "Purchasing" magazine, 59% of companies outsourced some part of their manufacturing process in the past two to three years. You would like to verify this complaint, and surveyed 572 companies. Show your answer to 4 decimal places if necessary. a. What is the distribution of p?p-N 0.59 0.0206 b. What is the probability that between 337 and 349 companies outsourced some part of their manufacturing process in the past two or three years? 0.165 x Hint: Convert the given x- values to p's first.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below O A. The statement is false. A sampling distribution is never normal. O B. The statement is false. A sampling distribution is normal only if n230. O C. The statement is true. O D. The statement is false. A sampling distribution is normal if either n230 or the population is normal. Click to select your answer. ... acer
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The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
We learned that there are 4 items by which we characterize a distribution in statistics. Which of the followings is NOT one of them? O a. Central tendency Ob. Homogeneity O c. Skewness Od. Kurtosis
Which of the following predictions can be calculated using a geometric distribution? a. the number of expeditions that will reach the top of Mount Everest this year b. the number of trucks a weigh station will inspect before finding one that is overloaded C. both of the above d. neither of the above 31 SAMSUNG DIl 9% & 5 6 7 8. y

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