|(a) State the null hypothesis H, and the alternative hypothesis H7. H, :0 H :0 |(b) Determine the type of test statistic to use. (Choose one) |(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) D and 0

MATLAB: An Introduction with Applications
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Heights
measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviati
of those height measurements were 45 centimeters and 12 centimeters, respectively.
Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that u is different from
42 centimeters? Use the 0.05 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) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
I and
(e) At the 0.05 level of significance, can it be concluded that the population
mean height of treated plants is different from 42 centimeters?
Transcribed Image Text:Heights measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviati of those height measurements were 45 centimeters and 12 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that u is different from 42 centimeters? Use the 0.05 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) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) I and (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 42 centimeters?
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