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The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 22 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 47 centimeters and 9 centimeters, respectively. Assume that the heights of treated Begonias are approximately normally distributed. Based on the sample, can it be concluded that the population mean height of treated begonias, µ, is different from that reported the journal? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂:0 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.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? QYes No H |x 9 0#0 O X S 0=0 OSO 2 OO

The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 22 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 47 centimeters and 9 centimeters, respectively. Assume that the heights of treated Begonias are approximately normally distributed. Based on the sample, can it be concluded that the population mean height of treated begonias, µ, is different from that reported the journal? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂:0 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.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? QYes No H |x 9 0#0 O X S 0=0 OSO 2 OO

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 22 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 47 centimeters and 9 centimeters, respectively. Assume that the heights of treated Begonias are approximately normally distributed. Based on the sample, can it be concluded that the population mean height of treated begonias, µ, is different from that reported in the journal? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. :0 Ho : 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.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? OYes ONO 3 |x X 0=0 S X OSO 0#0 0<0 р <Q 00 020 O>O
Transcribed Image Text:The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 22 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 47 centimeters and 9 centimeters, respectively. Assume that the heights of treated Begonias are approximately normally distributed. Based on the sample, can it be concluded that the population mean height of treated begonias, µ, is different from that reported in the journal? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. :0 Ho : 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.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? OYes ONO 3 |x X 0=0 S X OSO 0#0 0<0 р <Q 00 020 O>O
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