A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.  Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.  Assume that the population standard deviation is 0.2 m. STEP 1. H0: µ   m   H1: µ   m       NOTE: For ≠ enter /=

MATLAB: An Introduction with Applications
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A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.  Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.  Assume that the population standard deviation is 0.2 m.

STEP 1. H0: µ   m   H1: µ   m       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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