Please clearly show and label each step
Ho: μ = 16
H1: μ ≠ 16
A sample of 50 provided a sample mean of 15.15. The population standard deviation is 3.
Solution:
Null hypothesis H0: mean = 16
Alternate hypothesis H1: mean is not equal 16
Population standard is given and sample size is greater than 30 so
we will use Z test
Zstat = (15.15-16)/3/sqrt(50)
Zstat = -0.85/3/7.07 = -2.00
this is two tailed test so we can find p-value from z table so
p-value is 0.0576
At alpha = 0.05, we are failed to reject the null hypothesis as
p-value is greater than alpha value so we are failed to reject the
null hypothesis.
At Zcritical value is +/- 1.645 if Ztest value is in between -1.645
to +1.645 than we will reject H0 else do not reject H0. Here we are
failed to reject the null hypothesis.
Please clearly show and label each step Consider the following hypothesis test: Ho: μ = 16...
Please label and show each step 2. Consider the following hypothesis test: Ho: μ ≤ 50 H1: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use α=0.05. a. Z critical = _______________ b. Sample mean = 53.5, z calc = ______________. Do you reject Ho? c. Sample mean = 51.8, z calc = ______________. Do you reject Ho? d. The Pvalue for c is:_________________
Name and Signature: 1. Consider the following hypothesis test A sample of 50 provided a sample mean of 15.15. The population standard deviation is 3. a. Compute the value of the test statistic. b. What is the p value? C. At α : 0.05, what is the rejection rule using the critical value? what is your conclusion? 2. Consider the following hypothesis test: A sample of 60 is used and the population standard deviation is 8. Use a 0.05. a....
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