Question

1. Scores on the belief in UFO’s test are normally distributed with m = 40 with a standard deviation of 3. Higher scores indicate greater belief in UFO’s. A sample of 24 people is forced to watch every episode of the X-Files TV show and then completes the test. The sample has a mean score of 46. Does watching the X-Files increase people’s belief in UFO’s? Use a = .01.

1a.       The hypothesis test should be...                                              (highlight one) (1 point)

                        a) one-tailed (directional)      b) two-tailed (non-directional)                

           

1b. According to your answers above, conduct the hypothesis test.

Step 1:

State your hypotheses in symbols. (Be sure to label H0 and H1.)                            (2 points)

State your hypotheses in words. (Be sure to label H0 and H1.)                                (2 points)

Step 2: Set up the criteria for making a decision.                                                      (2 points)

Step 3: Compute the appropriate test-statistic.                                                          (4 points)

Step 4: Evaluate the null hypothesis (according to your answers above).            (1 point)

According to your answers above, what is your conclusion? Does watching the X-Files increase belief in UFO’s?                                                                                                         (1 point)

            a) Yes

            b) No

1c. Based on your answer above, what type of error might you have made in your decision in Step 4?                                                                                                                                (1 point)

1. Scores on the belief in UFO’s test are normally distributed with m = 40 with a standard deviation of 3. Higher scores indicate greater belief in UFO’s. A sample of 24 people is forced to watch every episode of the X-Files TV show and then completes the test. The sample has a mean score of 46. Does watching the X-Files increase people’s belief in UFO’s? Use a = .01.

1a.       The hypothesis test should be...                                              (highlight one) (1 point)

                        a) one-tailed (directional)      b) two-tailed (non-directional)                

           

1b. According to your answers above, conduct the hypothesis test.

Step 1:

State your hypotheses in symbols. (Be sure to label H0 and H1.)                            (2 points)

State your hypotheses in words. (Be sure to label H0 and H1.)                                (2 points)

Step 2: Set up the criteria for making a decision.                                                      (2 points)

Step 3: Compute the appropriate test-statistic.                                                          (4 points)

Step 4: Evaluate the null hypothesis (according to your answers above).            (1 point)

According to your answers above, what is your conclusion? Does watching the X-Files increase belief in UFO’s?                                                                                                         (1 point)

            a) Yes

            b) No

1c. Based on your answer above, what type of error might you have made in your decision in Step 4?                                                                                                                                (1 point)

Answer 1

1a . The test should be one-tailed (directional)

Step 1:

Null Hypothesis,Ho: The mean score of belief in UFO's Test is 40 ie.

Alternative Hypothesis, Ha: The mean belief score in UFO Test is greater than 40 ie.

Step2:

The Critical Value for Right Tailed Z test at alpha = 0.01 is 2.33

So Rejection Region, R = { Z: Z > 2.33}

Step 3:

Test-Statistics: Under Ho,

  

Step4:

Since Z = 9.798 > 2.33 so we Reject the Null Hypothesis at 1% level of significance and conclude that The mean score on belief on UFO test is greater than 40

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