(e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? Yes No The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 36 centimeters. To check whether this is still accurate, heights are measured for a random sample of 12 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 43 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 H, and the alternative hypothesis H₁. μ σ p Н Ho : ☐ H₁ : (b) Determine the type of test statistic to use. t Degrees of freedom: ☐ (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.) x S 4 ローロ □≠□ ☑ □≤□ O

(e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal? Yes No The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 36 centimeters. To check whether this is still accurate, heights are measured for a random sample of 12 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 43 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 H, and the alternative hypothesis H₁. μ σ p Н Ho : ☐ H₁ : (b) Determine the type of test statistic to use. t Degrees of freedom: ☐ (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.) x S 4 ローロ □≠□ ☑ □≤□ O

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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