A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (in thousands of dollars) is as follows:- **Office 1**: Employees 1 and 2, Salaries: $24.7k, $26.8k- **Office 2**: Employees 3 and 4, Salaries: $25.2k, $28.6k- **Office 3**: Employees 5 and 6, Salaries: $20.8k, $24.7k**(a)** Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary $\bar{X}$.\[\begin{array}{c|c}\bar{x} & p(\bar{x}) \\\hline22.75 & \frac{1}{15} \\24.70 & \\25.95 & \\26.65 & \\28.60 & \frac{2}{15} \\\end{array}\]**(b)** Suppose one of the three offices is randomly selected. Let $X_1$ and $X_2$ denote the salaries of the two employees. Determine the sampling distribution of $\bar{X}$.\[\begin{array}{c|c}\bar{x} & p(\bar{x}) \\\hline22.75 & \\26.65 & \\26.90 & \\\end{array}\]**(c)** How does $E(\bar{X})$ from parts (a) and (b) compare to the population mean salary $\mu$?$E(\bar{X})$ from part (a) is [Select...] $\mu$ and $E(\bar{X})$ from part (b) is [Select...] $\mu$.Note: There is a graphical representation of the sample means and their probabilities in a tabular format. Each entry is a possible sample mean derived from different combinations of employee salaries, and the probability $p(\bar{x})$ represents how often each mean occurs when sampling.

Answered: Image /qna-images/answer/798e4bd4-4f81-4518-9124-cdafc5efeb24.jpg

Answered: A company maintains three offices in 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

See similar textbooks

Similar questions

Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 70.8 69.8 70.7 70.1 73.3 73.6 76.5 65.7 72.4 71.0 Part: 0 / 4 70.9 Send data to Excel Part 1 of 4 69.1 The least-squares regression line y = b + b₁ x = 47.8026+0.3397x and Σ (x-x)² = 36.5350 are known for this data. Use the critical value method to test H₂ :B₁ = 0 versus H₁ :B₁ +0. Can you conclude that the father's height is useful in predicting the son's height? Use the α = 0.01 level of significance. Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0,0,...
Which of the following sampling methods was used in the study described below? A researcher is interested in knowing how many hours a week teenagers spend on social media. He surveys his daughter, who is a teenager, and fifty of her teen friends. a. simple random sample b. systematic sample c. convenience sample d. self-selected sample
Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let and be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie. Which of the following is the mean of the sampling distribution of ? –0.11 0.11 0.74 1.47
The distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 34 28 34 26 28 Actor (years) 59 40 39 40 30 32 54 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Ho Md 42 27 33 40 41 43 year(s) year(s) H₁ H (Type integers or decimals. Do not round.) Identify the…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 29 29 31 29 36 28 26 44 28 33 Actor (years) 64 34 39 39 32 35 56 42 35 42 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than BestActors). In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test?…
Determine whether the following sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative. A researcher wishes to compare annual salaries of patients with and without narcolepsy. She obtains a random sample of 116 patients of each category who work and determines each patient's annual salary. ... Determine whether the following sampling is dependent or independent. OA. The sampling is dependent because an individual selected for one sample does dictate which individual is to be in the second sample. OB. The sampling is dependent because an individual selected for one sample does not dictate which individual is to be in the second sample. OC. The sampling is independent because an individual selected for one sample does dictate which individual is to be in the second sample. D. The sampling is independent because an individual selected for one sample does not dictate which individual is to be in the second sample. Indicate whether the…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 Actor (years) 64 38 33 31 35 37 37 26 27 39 30 36 31 51 36 41 31 43 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho Hd H₁ Hd year(s) year(s) (Type integers or decimals. Do not round.)
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 29 30 31 27 38 26 27 38 29 31 Actor (years) 60 33 34 34 28 32 49 41 40 41 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test?…
The distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
Samuel F.B. Morse (1791-1872), the creator of the Morse Code, claimed that 12 % of all letters used in English language were "e"s. Suppose random samples of 196 letters are selected from a book. Use this information to answer question below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS