We do not do your work for you. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school? Once you have answered your questions, we will be happy to give you feedback on your work.
However, here is some help.
The population standard deviation is not available from your data, but some of the other data is readily available from the problem statement.
Z = (mean1 - mean2)/standard error (SE) of difference between means
SEdiff = √(SEmean1^2 + SEmean2^2)
SEm = SD/√(n-1)
Since only one SD is provided, you can use just that to determine SEdiff.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to your Z-score.
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 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?
µ (population mean): _______
ó (population standard deviation): _______
X (sample mean): _______
s (sample standard deviation): _______
á (significance level): _______
ð (population proportion): _______
p (sample proportion): _______
a. State the null and alternate hypotheses.
H0: __________________
H1: __________________
b. Find the critical value
c. State the decision rule.
d. Compute the value of the test statistic.
e. Find the p-value
f. What is your decision regarding the null hypothesis? Interpret the result.
1 answer
1 answer