The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is centimeters. To check whether this is still accurate, heights are measured for a random sample of 16 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 39 centimeters and 7 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. H:D 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 two critical values. (Round to three or more decimal places.) Dand (e) Can it be concluded that the mean height of treated Begonias is different. from that reported in the journal? OYes ONO F X a X S ô 믐 00 0=0 OSO 00 OO 5 R 4 A M
The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is centimeters. To check whether this is still accurate, heights are measured for a random sample of 16 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 39 centimeters and 7 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. H:D 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 two critical values. (Round to three or more decimal places.) Dand (e) Can it be concluded that the mean height of treated Begonias is different. from that reported in the journal? OYes ONO F X a X S ô 믐 00 0=0 OSO 00 OO 5 R 4 A M
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 42 centimeters. To check whether
this is still accurate, heights are measured for a random sample of 16 Begonias grown while being treated with the nutrient. The sample mean and sample
standard deviation of those height measurements are 39 centimeters and 7 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.
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.)
0
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) Can it be concluded that the mean height of treated Begonias is different.
from that reported in the journal?
OYes O No
1
X
a
S
X
00
0=0 OSO
0 0 O<O
Р
ô
8
ロマロ
O<O
S
F
"
A
M
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman