Question

A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height of 15.7 cm (σ = 3.5 cm). The biologist treated a random sample of n = 31 seedlings with the extract and subsequently obtained the sample mean: 13.8 cm. Use a 0.01 level of significance to test the hypothesis that μ = 15.7 (H0) against the alternative that μ < 15.7 (H1).

Name: a biologist was interested in determining whether sunflower seedlings treated with an extract from vinca minor roots resulted in a lower average height of sunflower seedlings than the standa 12846
Uploaded: 2022-04-27T19:10:33-08:00
Duration: 1 min 34 s
Channel: Marc Lauzon
Description: a biologist was interested in determining whether sunflower seedlings treated with an extract from vinca minor roots resulted in a lower average height of sunflower seedlings than the standa 12846

          A biologist was interested in determining whether sunflower
seedlings treated with an extract from Vinca minor roots resulted
in a lower average height of sunflower seedlings than the standard
height of 15.7 cm (σ = 3.5 cm). The biologist treated a random
sample of n = 31 seedlings with the extract and subsequently
obtained the sample mean: 13.8 cm. Use a 0.01 level of significance
to test the hypothesis that μ = 15.7 (H0) against the alternative
that μ < 15.7 (H1).

Added by Jesse W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Marc Lauzon

04/27/2022

Step 1

7 cm: μ = 15.7 The alternative hypothesis (H1) states that the average height of sunflower seedlings treated with the extract is less than 15.7 cm: μ < 15.7 ** Show more…

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A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height of 15.7 cm (σ = 3.5 cm). The biologist treated a random sample of n = 31 seedlings with the extract and subsequently obtained the sample mean: 13.8 cm. Use a 0.01 level of significance to test the hypothesis that μ = 15.7 (H0) against the alternative that μ < 15.7 (H1).