SOLUTION: consider the hypothesis test with
Null hypothesis H0: u= 500
alternative hypothesis H1 u not equal 500 (this is two-tailed test)
In a random sample of 81 subjects, the sampl
Algebra ->
Probability-and-statistics
-> SOLUTION: consider the hypothesis test with
Null hypothesis H0: u= 500
alternative hypothesis H1 u not equal 500 (this is two-tailed test)
In a random sample of 81 subjects, the sampl
Log On
Question 884233: consider the hypothesis test with
Null hypothesis H0: u= 500
alternative hypothesis H1 u not equal 500 (this is two-tailed test)
In a random sample of 81 subjects, the sample mean found to be x=492. Population standard deviation is 36.
1. Calculate test statistics and find p-value for this test
2. With significance level a=0.02 (two tail test) make the decision: accept or reject H0. Explain your decision. Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! test assumption is that the mean is not equal to 500.
sample size = 81
sample mean = 492
population standard deviation = 36.
standard error = population standard deviation divided by square root of sample size = 36 / sqrt(81) = 36/9 = 4
z score = (sample mean minus popjulation mean) / standard error = (492 - 500) / 4 = -8/4 = -2
test alpha = .0228 from the z score table. this is the area under the distribution curve that is to the left of a z score of -2.
since the critical alpha = .02 and the test alpha is greater than this, the results are not statistically significant and you do not reject the null hypothesis in favor of the alternate hypothesis.
