MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 38 centimeters. To check whether
this is still accurate, heights are measured for a random sample of 19 Begonias grown while being treated with the nutrient. The sample mean and sample
standard deviation of those height measurements are 42 centimeters and 8 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 Ho and the alternative hypothesis H₁.
0
Ho :0
H₁ :0
(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.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
that the mean height of treated Begonias is different
μ
XI
0²
0#0
O
0=0 OSO
X
S
<口
р
010
ロミロ
□口
expand button
Transcribed Image Text:The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 38 centimeters. To check whether this is still accurate, heights are measured for a random sample of 19 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 42 centimeters and 8 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 Ho and the alternative hypothesis H₁. 0 Ho :0 H₁ :0 (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.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 that the mean height of treated Begonias is different μ XI 0² 0#0 O 0=0 OSO X S <口 р 010 ロミロ □口
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