statistics

posted by .

A statistics practitioner formulated the following hypothesis:

Ho: population mean=200
H1: population mean<200

sample mean=190
n=9
population standard deviation=50

Calculate the p-value of the test

  • statistics -

    Use the z-test formula to find the test statistic since you know the population standard deviation:
    z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

    With the data given in the problem:
    z = (190 - 200)/(50/√9)

    Finish the calculation and determine the p-value using a z-table. The p-value is the actual level of the test statistic.

    I hope this will help get you started.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. 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 p-value and comment
  3. Statistics

    8. A sample of 65 observations is selected from one population. The sample mean is 2.67 and the sample standard deviation is .75. A sample of 50 observations is selected from a second population. The sample mean is 2.59 and the sample …
  4. Statistics

    A population has a mean of 200 and standard deviation of 50 and simple random sample size of 100 and x is used to estimate u. What is the probility that the sample mean will be within plus or minue 5 of the population mean?
  5. 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 p-value and comment
  6. 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 …
  7. 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 …
  8. Statistics

    In an essay of 250-500 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?
  9. 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 …
  10. statistics

    An IQ test was administered to a random sample of 26 mental patients and the mean was found to be 99.7. For this test, the population values are known to be normally distributed and with a population standard deviation of 15. Construct …

More Similar Questions