Heights were measured for a random sample of 18 plants grown while being treated with a particular nutrilent. The sample mean and sample standard deviation of those height measurements were 39 centimeters and 10 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 45 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,. Ho: 0 文 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.) Dand D (e) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from 45 centimeters? Yes No

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Heights were measured for a random sample of 18 plants grown while being treated with a particular nutrient. The sample
mean and sample standard deviation of those height measurements were 39 centimeters and 10 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 45 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,.
Ho: 0
文
H 0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=D0
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.)
and D
(e) At the 0.1 level of significance, can it be concluded that the population mean
height of treated plants is different from 45 centimeters?
Yes No
olo
Transcribed Image Text:Heights were measured for a random sample of 18 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 39 centimeters and 10 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 45 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,. Ho: 0 文 H 0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=D0 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.) and D (e) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from 45 centimeters? Yes No olo
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