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 STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. STEP 3. The critical value(s) and tests statistic is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed α =10% z = -1.28 (A) z=∓1.65z=∓1.65 (B) z =1.28 (C) α =5% z = -1.65 (D) z=∓1.96z=∓1.96 (E) z = 1.65 (F) α =1% z = -2.33 (G) z=∓2.58z=∓2.58 (H) z = 2.33 (I)
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
STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test.
STEP 3. The critical value(s) and tests statistic is
Use the following chart to identify the critical value (s)
Left-tailed Two-tailed Right tailed
α =10% z = -1.28 (A) z=∓1.65z=∓1.65 (B) z =1.28 (C)
α =5% z = -1.65 (D) z=∓1.96z=∓1.96 (E) z = 1.65 (F)
α =1% z = -2.33 (G) z=∓2.58z=∓2.58 (H) z = 2.33 (I)
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