Question

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 5% level of significance. What is your conclusion?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 study was conducted to determine if the salaries of librarians from two neighboring states were...
A study was conducted to determine if the salaries of librarians from two neighboring states were equal. A sample of 100 librarians from each state was randomly selected. The mean from the first state was $29,800 with a standard deviation of $2,200. The mean from the second state was $31,400 with a standard deviation of $2,150. Test the hypothesis that there is no difference in the salaries from both states at the 0.05 significance level. Determine the test statistic. Round...
A study was conducted to determine if the salaries of librarians from two neighboring cities were...
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Test the hypothesis that the salaries from both cities are equal. Use α = 0.025. State the null and alternative hypotheses. p value ,...
Random samples of size 78 were selected from a population with mean 137 and standard deviation...
Random samples of size 78 were selected from a population with mean 137 and standard deviation 4.2. A.) What is the mean of the sample means (  x )? B.) What is the standard deviation of the sample means (  x )?
Random samples of size 78 were selected from a population with mean 137 and standard deviation...
Random samples of size 78 were selected from a population with mean 137 and standard deviation 4.2. A.) What is the mean of the sample means (  x )? B.) What is the standard deviation of the sample means (  x )?
Salary data from two random samples of high school teachers are shown to the right. Also...
Salary data from two random samples of high school teachers are shown to the right. Also shown are the population standard deviations. Construct a 90% confidence interval to estimate the difference in the average salaries of the high school teachers in these two states. b. Based on the results in part? a, can you conclude that a difference exists in the average? salaries? state A state B sample mean 52,236 57,231 sample size 43 49 population standard deviation 6207 6671...
A study was conducted to determine if the salaries of librarians from two neighboring cities were...
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. Asample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with astandard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100.Test the hypothesis that the mean salaries from both cities are equal. Assume not pooled case. H0 H1 P-value   decision   conclusion  
A study was conducted to determine if the salaries of elementary school teachers from two neighboring...
A study was conducted to determine if the salaries of elementary school teachers from two neighboring states were equal. A sample of 100 teachers from each state was randomly selected. The mean from the first state was $29,200 with a population standard deviation of $2300. The mean from the second state was $30,600 with a population standard deviation of $2100. Test the claim that the salaries from both states are equal. Use α = 0.05.
A study was conducted to determine if the salaries of elementary school teachers from two neighboring...
A study was conducted to determine if the salaries of elementary school teachers from two neighboring states were different. A sample of 100 teachers from each state were randomly selected. The mean from the first state was $34, 500 with a population standard deviation of $2875. The mean from the second state was $35, 450 with a population standard deviation of $3200. Test the claim that the salaries from both states are different. Use α = 0.01.
At a local store, 65 female employees were randomly selected and it was found that their...
At a local store, 65 female employees were randomly selected and it was found that their mean monthly income was $605 with a standard deviation of $121.50. Seventy-five male employees were also randomly selected and their mean monthly income was found to be $677 with a standard deviation of $168.70. Test the hypothesis that male employees have a higher monthly income than female employees. Use α = 0.01. Type the conclusion only for the hypothesis test (step 5).