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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 37 centimeters and 9 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that is different from 36 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.)

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 37 centimeters and 9 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that is different from 36 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Done = Knowledge Check (c) F Z t Español Heights were measured for a random sample of 18 plants grown w being treated with a particular nutrient. The sample mean and sa standard deviation of those height measurements were 37 centim and 9 centimeters, respectively. (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ : O H₁:0 (b) Determine the type of test statistic to use. Chi-square www-awu.aleks.com Question 6 Assume that the population of heights of treated plants is normal distributed with mean μ. Based on the sample, can it be conclude s different from 36 centimeters? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Chi-square Carry your intermediate computations to three or more decimal p and round your answers as specified in the table. (If necessary, c a list of formulas.) ▼ I Don't Know Degrees of freedom: e test statistic. (Round to three or more decimal places.) F (d) Find the two critical values. (Round to three or more decimal places.) and AA (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 36 centimeters? OYes No Submit Evelyn V 4 H X 0⁰ O S X 00 ローロ OSO O#O O<O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center P 0: 3
Transcribed Image Text:Done = Knowledge Check (c) F Z t Español Heights were measured for a random sample of 18 plants grown w being treated with a particular nutrient. The sample mean and sa standard deviation of those height measurements were 37 centim and 9 centimeters, respectively. (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ : O H₁:0 (b) Determine the type of test statistic to use. Chi-square www-awu.aleks.com Question 6 Assume that the population of heights of treated plants is normal distributed with mean μ. Based on the sample, can it be conclude s different from 36 centimeters? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Chi-square Carry your intermediate computations to three or more decimal p and round your answers as specified in the table. (If necessary, c a list of formulas.) ▼ I Don't Know Degrees of freedom: e test statistic. (Round to three or more decimal places.) F (d) Find the two critical values. (Round to three or more decimal places.) and AA (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 36 centimeters? OYes No Submit Evelyn V 4 H X 0⁰ O S X 00 ローロ OSO O#O O<O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center P 0: 3
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 37 centimeters and 9 centimeters, respectively. Español Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 36 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 H₁. H₂ : O H₁ :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.) 0 (d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 36 centimeters? OYes ONO μ XI 9 0=0 0#0 X O S 00 OSO O<O Р <Q Olo 020 BE O<O
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 37 centimeters and 9 centimeters, respectively. Español Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 36 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 H₁. H₂ : O H₁ :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.) 0 (d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 36 centimeters? OYes ONO μ XI 9 0=0 0#0 X O S 00 OSO O<O Р <Q Olo 020 BE O<O
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