# college Math

posted by .

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 5 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?

a. State the null and alternate hypotheses.
Ho:
H1:
b. State the decision rule.
c. Compute the value of the test statistic.
d. Compute the p-value.
e. What is your decision regarding the null hypothesis? Interpret the result.

• college Math -

Ho: µ = 40 --->meaning the population mean is equal to 40.

H1: µ < 40 ---> meaning the population mean is less than 40.

This will be a one-tailed test because the alternative hypothesis is showing a specific direction.

Use a z-test. Find the significance level for a one-tailed test using a z-table. Compare the test statistic from the z-test to the value from the z-table. If the test statistic exceeds the value in the table, then reject the null and conclude µ < 40. The p-value is the actual level of the test statistic found using a z-table.

Here is a z-test formula to get you started:

z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

Sample mean = 39
Population mean = 40
Standard deviation = 5
Sample size = 100

Fill the values into the formula and compute the test statistic.

I'll let you take it from here.

I hope this will help get you started.

• college Math -

Z<-1.25)=(1-.1056)=0.8944
P-value of 0.894<0.05
Reject?

## Similar Questions

1. ### statistics

A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the particular …
2. ### RESEARCH AND EVALUATION II

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first time users of a new statistics program revealed the mean time to learn it was 39 hours with …
3. ### Statistics

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with …
4. ### stastics

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with …
5. ### college

A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the particular …
6. ### Statistics

A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the particular …
7. ### statistics

A sample of 352 subscribers to Wired magazine shows the mean time spent using the Internet is 13.4 hours per week, with a sample standard deviation of 6.8 hours. Find the 95 percent confidence interval for the mean time Wired subscribers …
8. ### statistics

A countrywide estate agency specializes in selling commercial ventures. Their records show that the mean selling time is less than 90 days. Because of recent economic conditions, they believe that the mean selling time is now greater …
9. ### Statistics

A countrywide estate agency specializes in selling commercial ventures. Their records show that the mean selling time is less than 90 days. Because of recent economic conditions, they believe that the mean selling time is now greater …
10. ### Math

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95​% confident that your sample mean is within 11 minutes of the population​ mean?

More Similar Questions