A USE SALT (a) Calculate the test statistic for the problem. (Round your answer to two decimal places.) t =-13.15 x -H s/Vn (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) 0.0000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

I want the answer for part a for the first question and for part b for the second question!

The average height of children who are 2 years old is 34 inches. A random sample of 35 children who are 2 years old in a large daycare franchise is collected, and they are found to average
28.00 inches with a sample standard deviation of s:
1.80 inches. The researchers are suspicious that the children at the daycares are not growing as quickly as they should be.
%3D
n USE SALT
(a) Calculate the test statistic for the problem. (Round your answer to two decimal places.)
t = -13.15
t :
%3D
s/Vn
(b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.)
0.0000
(c) Choose the appropriate conclusion for this test when a = 0.05.
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
O Reject the alternative hypothesis.
O Accept the null hypothesis.
Transcribed Image Text:The average height of children who are 2 years old is 34 inches. A random sample of 35 children who are 2 years old in a large daycare franchise is collected, and they are found to average 28.00 inches with a sample standard deviation of s: 1.80 inches. The researchers are suspicious that the children at the daycares are not growing as quickly as they should be. %3D n USE SALT (a) Calculate the test statistic for the problem. (Round your answer to two decimal places.) t = -13.15 t : %3D s/Vn (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) 0.0000 (c) Choose the appropriate conclusion for this test when a = 0.05. O Reject the null hypothesis. O Fail to reject the null hypothesis. O Reject the alternative hypothesis. O Accept the null hypothesis.
The article "Well-Fed Crickets Bowl Maidens Over"t reported that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status.
The chirp rates for male field crickets were reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate is related to nutritional status, investigators fed male crickets a
high-protein diet for 8 days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 107 chirps per second. Is this convincing evidence that the
mean chirp rate for crickets on a high-protein diet is greater than 60 (which would then imply an advantage in attracting the ladies)? Suppose that the sample size and sample standard deviation are
n = 32 and s = 35. You can test the relevant hypotheses to answer this question. A significance level of a = 0.01 will be used.
In USE SALT
(a) State the null and alternative hypotheses.
Ho: H = 60
Hai u > 60
O Ho: H =
H: u + 60
09 = 1 :ºH
O Ho: u < 60
Ha: H > 60
O Ho: H = 60
H3: u < 60
%3D
(b) Calculate the test statistic. (Round your answer to two decimal places.)
t = 7.593
t =
s/Vn
(c) Based on a = 0.01, what is the correct conclusion for the hypothesis test? (Use a table or SALT.)
We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is
greater than 60.
We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater
than 60.
We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than
60.
Transcribed Image Text:The article "Well-Fed Crickets Bowl Maidens Over"t reported that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The chirp rates for male field crickets were reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate is related to nutritional status, investigators fed male crickets a high-protein diet for 8 days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 107 chirps per second. Is this convincing evidence that the mean chirp rate for crickets on a high-protein diet is greater than 60 (which would then imply an advantage in attracting the ladies)? Suppose that the sample size and sample standard deviation are n = 32 and s = 35. You can test the relevant hypotheses to answer this question. A significance level of a = 0.01 will be used. In USE SALT (a) State the null and alternative hypotheses. Ho: H = 60 Hai u > 60 O Ho: H = H: u + 60 09 = 1 :ºH O Ho: u < 60 Ha: H > 60 O Ho: H = 60 H3: u < 60 %3D (b) Calculate the test statistic. (Round your answer to two decimal places.) t = 7.593 t = s/Vn (c) Based on a = 0.01, what is the correct conclusion for the hypothesis test? (Use a table or SALT.) We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60. We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fractions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman