# statistics

posted by .

Given a sample size of 38, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test.
Null Hypothesis H0: ƒÊ = 700
Alternative Hypothesis H0: ƒÊ ‚ 700
At significance level 0.05

3. Calculate the test statistics
(Tip: this is the case when we test the claim about population mean with population standard deviation not known; 95.9 is a sample standard deviation not a population standard deviation).
4. Use Table A-3 to find critical value for this test and make decision:
reject or do not reject the Null Hypothesis?

• statistics -

Usually you use z-tests when sample sizes are large (n is greater than
or equal to 30) whether or not you know the population standard deviation.

If you do not know the population standard deviation and have a small
sample (n < 30), then you can use t-tests.

Therefore, try a z-test for your data.
Using the z-test formula to find the test statistic:
z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

z = (660.3 - 700)/(95.9/√38)

I'll let you finish the calculation.

Determine the critical value using your table. Determine if this is a one-tailed or two-tailed test. (Hint: The test is one-tailed if the alternative hypothesis shows a specific direction; the test is two-tailed if the alternative hypothesis does not show a specific direction.) Once you have the critical value, compare it to the test statistic calculated above. If the test statistic exceeds the critical value, reject the null. If the test statistic does not exceed the critical value, then do not reject the null.

I hope this will help get you started.

• statistics -

I do very much appreciate your help. This guides me to where I need to go.

## Similar Questions

1. ### STATS

Given a sample size of 18, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level 0.05 …
2. ### Statistics

If my p-value = .322 and my significant level is .05 , then My Null Hypothesis is rejected and I must accept the Alternative hypothesis My Null Hypothesis is not rejected My Alternative hypothesis becomes the new Null Hypothesis I …
3. ### Statistics

are the following statements, Ho:=10 and Ha:equal to or less than, a valid pair of null and alternative hypothesis?
4. ### statistics

if the null hypothesis is that the mean is 3218, the alternative hypothesis is that the mean > 3228, and the sample mean is x= 3342, the sample standard deviation is s=287, the sample size is n= 42, and α= 0.01 a. calculate …
5. ### STAT

Given a sample size of 18, with sample mean 660.3 and sample standard deviation 95.9, we are to perform the following hypothesis testing: Null Hypothesis H0 : µ = 700 Research Hypothesis H1 : µ ≠ 700 •What is the test statistics?
6. ### STAT

Given a sample size of 18, with sample mean 660.3 and sample standard deviation 95.9, we are to perform the following hypothesis testing: Null Hypothesis H0 : µ = 700 Research Hypothesis H1 : µ ≠ 700 •What is the test statistics?
7. ### statistics

In performing a hypothesis test, the null hypothesis is population mean = 6.9 and the alternative hypothesis is population mean ≠ 6.9, a random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation …
8. ### statistics

A sample of 50 items is selected to determine whether or not to accept the hypothesis that a population means differs from a value of 20. The sample mean and standard deviation are 18 and 7, respectively. The null hypothesis is not …
9. ### statistics

Given a sample size of 36, with sample mean 400 and sample standard deviation 85, we perform the following hypothesis test, at the 95% level of confidence: Ho: ƒÊ = 450, Ha: ƒÊ ‚ 450. What is the question and what is the answer?
10. ### Statistics

Recall that the power (1 – β) of a hypothesis test is the probability that we will reject the null hypothesis given that it is false; that is, the probability that we will correctly reject the null hypothesis. All other things …

More Similar Questions