MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Heights were measured for a random sample of 12 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation
of those height measurements were 42 centimeters and 8 centimeters, respectively.
Assume that the population of heights of treated plants is normally distributed with mean p. Based on the sample, can it be concluded that u is different from
36 centimeters? Use the 0.1 level of significance.
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.1 level of significance, can it be concluded that the population mean
height of treated plants is different from 36 centimeters?
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Transcribed Image Text:Heights were measured for a random sample of 12 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 42 centimeters and 8 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean p. Based on the sample, can it be concluded that u is different from 36 centimeters? Use the 0.1 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from 36 centimeters? Save For Later Submit Assignmer Check | Accessib 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
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