Statistics

posted by .

A sample of 64 observations is selected from a normal population. the sample mean is 215 and the standard deviation is 15. conduct the following test of hypothosis using the .3 significance level.

Ho:u > or = 220
H1: u < 220

a) Is this a 1 tailed or 2 tailed test?
b) State the decision rule.
c) Compute the value of the test statistic.
d) What is your decision regarding the H0
e) What is the P value? Interpert

  • Statistics -

    A few hints to get you started:

    1. If H1 shows a specific direction, the test is one-tailed. If H1 does not show a specific direction (could be in either tail of the distribution curve), the test is two-tailed.

    2. Use a one-sample z-test formula to determine the test statistic.

    3. The p-value is the actual level of the test statistic which can be determined using a z-table.

    4. Determine the critical or cutoff value to reject Ho using a z-table. If the test statistic exceeds the critical value from the table, reject Ho. If the test statistic does not exceed the critical value from the table, do not reject Ho.

    I hope this will help.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    7. A sample of 40 observations is selected from one population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second population. The sample mean is 99 and the sample standard …
  2. 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 …
  3. 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 …
  4. 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 …
  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. math

    sample of 40 observations is selected from one population with a population standard deviation of 4.6. The sample mean is 101.0. A sample of 47 observations is selected from a second population with a population standard deviation …
  9. Quantitative Statistic

    The following information is available.   H0 : μ ≥ 220   H1 : μ < 220   A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following …
  10. Quantitative Statistic

    The following information is available.   H0 : μ ≥ 220   H1 : μ < 220   A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following …

More Similar Questions