Refer to Exercise 7.S.6. Construct a 95% confidence interval for the population mean reduction in stem length. Does the confidence interval indicate whether the effect of stress is “horticulturally important,” if “horticulturally important” is defined as a reduction in population mean stem length of at least1 cm2 cm5 cm 7.S.6 A plant physiologist conducted an experiment to determine whethermechanical stress can retard the growth of soybean plants. Young plantswere randomly allocated to two groups of 13 plants each. Plants in onegroup were mechanically agitated by shaking for 20 minutes twice daily,while plants in the other group were not agitated. After 16 days of growth,the total stem length (cm) of each plant was measured, with the results73given in the accompanying table.*Consider a t test to compare the treatments with the alternative hypothesisthat stress tends to retard growth.ControlStressin131330.5927.782.131.73a. What is the value of the t test statistic for comparing the means?b. The P-value for the t test is 0.0006. If a = 0.01, what is yourconclusion regarding Ho?

Answered: 7.S.6 A plant physiologist conducted an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Refer to Exercise 7.S.6. Construct a 95% confidence interval for the population mean reduction in stem length. Does the confidence interval indicate whether the effect of stress is “horticulturally important,” if “horticulturally important” is defined as a reduction in population mean stem length of at least

1 cm
2 cm
5 cm

7.S.6 A plant physiologist conducted an experiment to determine whether
mechanical stress can retard the growth of soybean plants. Young plants
were randomly allocated to two groups of 13 plants each. Plants in one
group were mechanically agitated by shaking for 20 minutes twice daily,
while plants in the other group were not agitated. After 16 days of growth,
the total stem length (cm) of each plant was measured, with the results
73
given in the accompanying table.*
Consider a t test to compare the treatments with the alternative hypothesis
that stress tends to retard growth.
Control
Stress
in
13
13
30.59
27.78
2.13
1.73
a. What is the value of the t test statistic for comparing the means?
b. The P-value for the t test is 0.0006. If a = 0.01, what is your
conclusion regarding Ho?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution