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The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrie is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 21 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 40 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 th 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :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 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? O Yes O No H X O S X 00 o=o oso Р 5 0 20

The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrie is 45 centimeters. To check whether this is still accurate, heights are measured for a random sample of 21 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 40 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 th 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :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 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? O Yes O No H X O S X 00 o=o oso Р 5 0 20

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
Section10.4: Distributions Of Data
Problem 19PFA
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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 21 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 40 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 0.05 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. :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.) 0 (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? O Yes O No H XI 0*0 a X S o=o oso 020 ロ<ロ Р <Q Ś 0>0
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 21 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 40 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 0.05 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. :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.) 0 (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? O Yes O No H XI 0*0 a X S o=o oso 020 ロ<ロ Р <Q Ś 0>0
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