The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 40 centimeters. To check whether this is still accurate, heights are measured for a random sample of 13 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 48 centimeters and 11 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 intermediáte computations to three more decimal places. (If necessary, consult a list of formulas.)
The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 40 centimeters. To check whether this is still accurate, heights are measured for a random sample of 13 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 48 centimeters and 11 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 intermediáte computations to three more decimal places. (If necessary, consult a list of formulas.)
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Please assist with part D and E!
Transcribed Image Text:The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 40
centimeters. To check whether this is still accurate, heights are measured for a random sample of 13 Begonias grown while being treated
with the nutrient. The sample mean and sample standard deviation of those height measurements are 48 centimeters and 11
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 intermediáte computations to three or more decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:(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
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