Independent random samples taken at two companies provided the following information regarding annual salaries of the...
Independent random samples taken at two companies provided the
following information regarding annual salaries of the
employees.
|
Company A |
Company B |
|
| Sample Size |
72 |
50 |
| Sample Mean (in $1,000) |
48 |
43 |
| Population Standard Deviation (in $1,000) |
12 |
10 |
| a. | We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. |
| b. | Compute the p-value; and at 95% confidence, test the hypotheses. |
Homework Answers
P-value Approach At 0.05 Level of Significance
P-value = The p-value is .01377.
The result is not significant at p < .01.
The 95% Confidence Interval for the Mean Difference is given by (1.06 , 8.94 )
Add Answer to:
Independent random samples taken at two companies provided the
following information regarding annual salaries of the...
In a study of annual salaries of employees, random samples were selected from two companies to...
In a study of annual salaries of employees, random samples were selected from two companies to test if there is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and the population standard deviation is assumed to be $11,000. For Company "Y", the sample size was 55, the sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test for a difference in average salaries at a...
a) b) Salary information regarding two independent random samples of male and female employees of a...
a)
b)
Salary information regarding two independent random samples of male and female employees of a large company is shown below. Male Female 64 36 Sample size Sample mean salary (in $1000s) Population variance 44 41 128 72 If you are interested in testing whether the average salary of males is significantly greater than that of females, what is the null hypothesis? O Ho: male < female Ho male > female Ho: male > female None of the answers is...
QUESTION 1 Salary information regarding two independent random samples of male and female employees of a...
QUESTION 1 Salary information regarding two independent random samples of male and female employees of a large company is shown below. Male Female 36 41 72 Sample size 64 Sample mean salary (in44 S1000s) Population variance 128 The point estimate of the difference between the means of the two populations (Male - Female) is -28 4 -4 Refer to Question 1. The standard error for the difference between the two means is_ 4 7.46 4.24 2.0 Refer to Question 1...
2. Independent random samples of managers' yearly salaries (in $100) taken from governmental and private organizations...
2. Independent random samples of managers' yearly salaries (in $100) taken from governmental and private organizations are provided in the data sheet. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. The standard deviations of both populations is unknown. a. State the null and alternative hypotheses. b. Reject or Fail to Reject the null hypothesis based on the level of significance and the p-value. Government 540...
please answer as soon as possible Consider the following results for two independent random samples taken...
please answer as soon as possible
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 1 13.2 11.3 σί 2.1 σ2-3 What is the point estimate of the difference between the two population means? (to 1 decimal) 2 Provide a 90% confidence interval for the difference between the two population means (to 2 decimals) 98 3.02 Provide a 95% confidence interval for the difference between the two population means (to 2 decimals)....
(Exercise 11.1(Algorithmic)) Consider the following results for independent samples taken from two populations Sample 1 1...
(Exercise 11.1(Algorithmic)) Consider the following results for independent samples taken from two populations Sample 1 1 400 P1 0.45 Sample 2 300 p2 0.34 a. What id the point estimate of the difference between the two population proportions (to 2 decimals)i b Develop a 90% confidence interval for the difference between the two population proportions to 4 decimals to C. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). to Consider the hypothesis...
The information below is based on independent random samples taken from two normally distributed populations having...
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 95% confidence interval estimate for the difference between the two population means. n1 14 x145 n2 13 2 47 The 95% confidence interval is s (μ1-12) s Round to two decimal places as needed)
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 ni...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 ni = 400 n2= 300 P1= 0.44 P2= 0.36 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
QUESTION 21 Independent random samples taken on two university campuses revealed the following information concerning the...
QUESTION 21 Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on non-textbook purchases at the university's bookstore during the fall semester University AUniversityB Sample Size Average Purchase Population Standard Deviation(o) 49 $260 $19 39 $250 $27 We want to determine if, on the average, students at University A spent more on non-textbook purchases at the university's bookstore than the students at University B What is the test statistic? Please...
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2...
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2 n1= 20 n2 = 40 x1= 22.1 x2= 20.6 s1= 2.9 s2 = 4.3 a. What is the point estimate of the difference between the two population means (to 1 decimal)? b. What is the degrees of freedom for the t distribution (round down)? c. At 95% confidence, what is the margin of error (to 1 decimal)? d. What is the 95% confidence interval...
a)
b)
Salary information regarding two independent random samples of male and female employees of a large company is shown below. Male Female 64 36 Sample size Sample mean salary (in $1000s) Population variance 44 41 128 72 If you are interested in testing whether the average salary of males is significantly greater than that of females, what is the null hypothesis? O Ho: male < female Ho male > female Ho: male > female None of the answers is...
QUESTION 1 Salary information regarding two independent random samples of male and female employees of a large company is shown below. Male Female 36 41 72 Sample size 64 Sample mean salary (in44 S1000s) Population variance 128 The point estimate of the difference between the means of the two populations (Male - Female) is -28 4 -4 Refer to Question 1. The standard error for the difference between the two means is_ 4 7.46 4.24 2.0 Refer to Question 1...
2. Independent random samples of managers' yearly salaries (in $100) taken from governmental and private organizations are provided in the data sheet. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. The standard deviations of both populations is unknown. a. State the null and alternative hypotheses. b. Reject or Fail to Reject the null hypothesis based on the level of significance and the p-value. Government 540...
please answer as soon as possible
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 1 13.2 11.3 σί 2.1 σ2-3 What is the point estimate of the difference between the two population means? (to 1 decimal) 2 Provide a 90% confidence interval for the difference between the two population means (to 2 decimals) 98 3.02 Provide a 95% confidence interval for the difference between the two population means (to 2 decimals)....
(Exercise 11.1(Algorithmic)) Consider the following results for independent samples taken from two populations Sample 1 1 400 P1 0.45 Sample 2 300 p2 0.34 a. What id the point estimate of the difference between the two population proportions (to 2 decimals)i b Develop a 90% confidence interval for the difference between the two population proportions to 4 decimals to C. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). to Consider the hypothesis...
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 95% confidence interval estimate for the difference between the two population means. n1 14 x145 n2 13 2 47 The 95% confidence interval is s (μ1-12) s Round to two decimal places as needed)
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 ni = 400 n2= 300 P1= 0.44 P2= 0.36 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
QUESTION 21 Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on non-textbook purchases at the university's bookstore during the fall semester University AUniversityB Sample Size Average Purchase Population Standard Deviation(o) 49 $260 $19 39 $250 $27 We want to determine if, on the average, students at University A spent more on non-textbook purchases at the university's bookstore than the students at University B What is the test statistic? Please...
Most questions answered within 3 hours.
-
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 1 hour ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 1 hour ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 1 hour ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 1 hour ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 1 hour ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 1 hour ago -
A current of I=8.0A is flowing in a typical extension cord of
length L=3.00m. The cord...
asked 1 hour ago -
1. When balancing the equation H2SO4 (aq) + NaOH (aq) →
Na2SO4(aq) + H2O(aq), would you...
asked 2 hours ago -
Provide a definition of “classification hierarchy” and
illustrate your definition with an example of how and...
asked 2 hours ago -
1. Describe the four main green solvents. Provide one example of
the use of each solvent....
asked 2 hours ago -
International ethics focus on:
1) exploitation of labor
2)corruption
3) environmental impact
4) none of the...
asked 2 hours ago -
Costing Models You work for XYZ trucking and your boss has asked
you to figure out...
asked 2 hours ago