A study by a corporation revealed that the mean weekly salary for managers in department A was $1,200 with a standard deviation of $100 (sample size = 64) while the mean weekly salary for managers in department B was $1350 and a standard deviation of $150 sample size = 81). The research department would like to prove that there is a difference between the mean weekly salaries between the two departments. A hypothesis test is to be conducted. What is the null hypothesis? Select one: a. H0 : .mu1 – mu2 > 0 b. H0 : mu1-mu2 not= 0 c. H0 : .mu1 – mu2 = 0 d. H0 : .mu1 – mu2 < 0
A study by a corporation revealed that the mean weekly salary for managers in department A...
A study by a corporation revealed that the mean weekly salary for managers in department A was $1,200 standard deviation of $100 (sample size = 64) while the mean weekly salary for managers in department and a standard deviation of $150 (sample size = 81). The hypothesis test of difference between the week and B departments is to be conducted at 5% significance level. The critical region for this test is
A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. Assume we conducted research and based on historical data found that the standard deviation for the population was $7,568. Construct a 90% confidence interval for the population mean. Carry all calculations out 4 decimal places. What if we wanted to be 88% confident of estimating the population mean within $1,000 and the standard deviation was $7.568. What sample...
Kroger indicates the average salary per hour of their employees is $9 per hour. A sample of 13 Kroger employees revealed a mean of $11 per hour with a standard deviation of $3 per hour. Costco indicates the average salary per hour of their employees is $10 per hour. A sample of 15 Costco employees revealed a mean of $9.50 per hour with a standard deviation of $2 per hour. At the .05 significance level, can we conclude there is...
In a study of monthly salary distribution of residents in Paris conducted in year 2015, it was found that the salaries had an average of €2200 (EURO) and a standard deviation of €550. Assume that the salaries were normally distributed. Question 1: Consider sampling with sample size 64 on the above population. Compute the mean of the ̅ sampling distribution of the mean (?). Question 2: Compute the standard deviation of the sampling distribution of the mean in Question 1...
A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief, μ1 , is greater than or equal to the annual spending (per person) for non-prescription allergy relief medicine, μ2 . A health insurance company conducted an independent study and collected data from a random sample of 205 individuals for prescription allergy relief medicine. The sample mean is found to be 17.5 dollars/year, with a sample standard...
Consider two populations. A random sample of 15 observations from the first population revealed a sample mean of 300 and a sample standard deviation of 12. A random sample of 18 observations from the second population revealed a sample mean of 293 and a sample standard deviation of 14. Test the hypotheses H0 : μ1 − μ2 = 0 and H1 : μ1 − μ2 ≠ 0 ,respectively. (a) Calculate the pooled estimate of the population variance. (b) Test the...
The distribution of weekly salaries at a large company is right-skewed with a mean of $1000 and a standard deviation of $350. a) Determine the sampling distribution of the mean salary for samples of size 60. b) If a sample of weekly salaries of 60 employees is randomly selected, what is the probability that the sample mean salary will be within $50 of the population mean $1000 (the mean weekly salary for all employees)?
A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief, py, is greater than or equal to the annual spending (per person) for non-prescription allergy relief medicine, uy. A health insurance company conducted an independent study and collected data from a random sample of 210 individuals for prescription allergy relief medicine. The sample mean is found to be 17.7 dollars/year, with a sample standard deviation of...
The mean annual salary of classroom teachers is approximately normal with a mean of $45,906. Assume a standard deviation of $8400. Do the following for the variable "annual salary" of classroom teachers. a. Determine the sampling distribution of the sample mean for samples of size 64. The sample mean is μx= ????????
We want to estimate the mean starting salary in a population of graduates. Approximately normally distributed. Standard deviation = 10 In a random sample of 31 graduates, the mean starting salary was 61.8 and the standard deviation was 12. 1. What is the lower (smaller) endpoint of the 90% confidence interval for the population mean? 2. What is the upper (larger) endpoint of the 90% confidence interval for the population mean? 3. If null hypothesis = 60 and alternate hypothesis...