Statistics
posted by Sandy .
Consider the hypothesis test given by Ho:u=530, H1:u does not equal 530. In a random sample of 85 subjects, the sample mean is found to be 522.3. Also, the population standard deviation is 29.
Determine the Pvalue for this test. Is there sufficient evidence to justify the rejection of Ho at the a=0.01 level? Explain and show work.

Use a onesample ztest.
z = (sample mean  population mean)/(standard deviation divided by the square root of the sample size)
With your data:
z = (522.3  530)/(29/√85) = ?
Finish the calculation.
Check a ztable at .01 level of significance for a twotailed test (H1 does not show a specific direction; therefore, the test is twotailed.)
If the ztest statistic exceeds the critical value from the ztable, reject the null and conclude H1 ≠ 530. If the ztest statistic does not exceed the critical value from the ztable, do not reject the null. If you determine the Pvalue, check the table using the ztest statistic. The Pvalue is the actual level of the test statistic.
I hope this will help get you started.
Respond to this Question
Similar Questions

Statistics
I have a question that involves explaining what is wrong in each of the following situations: (a) A random sample of size 20 is taken from a population that is assumed to have a standard deviation of 12. The standard deviation of the … 
Statistics
A random sample of size 20 from a normal population will sample mean 42 and sample standard deviation of 6 . To test the hypothesis the population mean 44 at 5% level of significance , find the pvalue and comment 
statistics
A sample of 40 observations is selected from one approximately normal population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean is 99 and … 
statistics
A sample of 40 observations is selected from one approximately normal population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean is 99 and … 
statistics
A random sample of size 20 from a normal population will sample mean 42 and sample standard deviation of 6 . To test the hypothesis the population mean 44 at 5% level of significance , find the pvalue and comment 
statistics
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 … 
Statistics
This is the first question..... For a population that has a standard deviation of 10, figure the standard deviation of the distribution of means for samples of size (b) 3. This is the second question....For each of the following samples … 
Statistics
. A random sample is selected from a normal population with a mean of __40 and a standard deviation of __10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M _ 42. a. How large a … 
Statistics
In an essay of 250500 words, thoroughly address the following items and respond to the related questions: 1.Define the term standard deviation. Why is it important to know the standard deviation for a given sample? 
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 …