A newspaper in a large Midwestern city reported that the National Association of Realtors said that the mean home price last year was $116800. The city housing department feels that this figure is too low. They randomly selected 63 homes sales and obtained a sample mean price of $118,900. Assume that the population standard deviation is $3,700. Using a 5% level of significance, perform a hypothesis test to determine whether the population mean is higher than $116,800.   STEP 1. H0: µ  $    H1: µ  $        NOTE: For ≠ enter /=   STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is  (enter e, f or g)   STEP 3. The critical value (s) is Use the following chart to identify the critical value (s)                           Left-tailed                         Two-tailed                                         Right tailed α =10%           z = -1.28 (A)                     z=∓1.65 (B)                                 z =1.28 (C)                              α =5%             z = -1.65 (D)                      z=∓1.96  (E)                                z = 1.65 (F) α =1%             z = -2.33 (G)                     z=∓2.58   (H)                                z = 2.33 (I) The critical value (s) is/are  (Enter a letter A through I)   STEP 4. The test statistics is  (Enter a z-score rounded to two decimal places) The test statistics is z = [g]   STEP 5. Make the decision. A: Reject the null hypothesis B: Do not reject the null hypothesis. The decision is  (Enter A or B)

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A newspaper in a large Midwestern city reported that the National Association of Realtors said that the mean home price last year was $116800. The city housing department feels that this figure is too low. They randomly selected 63 homes sales and obtained a sample mean price of $118,900. Assume that the population standard deviation is $3,700. Using a 5% level of significance, perform a hypothesis test to determine whether the population mean is higher than $116,800.

 

STEP 1. H0: µ  $    H1: µ  $        NOTE: For ≠ enter /=

 

STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test.

This test is  (enter e, f or g)

 

STEP 3. The critical value (s) is

Use the following chart to identify the critical value (s)

                          Left-tailed                         Two-tailed                                         Right tailed

α =10%           z = -1.28 (A)                     z=∓1.65 (B)                                 z =1.28 (C)                             

α =5%             z = -1.65 (D)                      z=∓1.96  (E)                                z = 1.65 (F)

α =1%             z = -2.33 (G)                     z=∓2.58   (H)                                z = 2.33 (I)

The critical value (s) is/are  (Enter a letter A through I)

 

STEP 4. The test statistics is  (Enter a z-score rounded to two decimal places)

The test statistics is z = [g]

 

STEP 5. Make the decision.

A: Reject the null hypothesis

B: Do not reject the null hypothesis.

The decision is  (Enter A or B) 

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