Help me answer the questions in the pictures with the information below: A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01. A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age ofcoyotes is u = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01.A USE SALT(a) What is the level of significance?State the null and alternate hypotheses.Hoi u = 1.75 yr; H,: u + 1.75 yrHoi H = 1.75 yr; H: u < 1.75 yrHoi H = 1.75 yr; H,: H> 1.75 yrHo: H < 1.75 yr; H,: H= 1.75 yrHo: u > 1.75 yr; H,: H = 1.75 yr(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.The standard normal, since the sample size is large and o is known.The Student's t, since the sample size is large and e is known.The Student's t, since the sample size is large and e is unknown.The standard normal, since the sample size is large and a is unknown.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Estimate the P-value.O P-value > 0.2500.100 < P-value < 0.2500.050 < P-value < 0.1000.010 < P-value < 0.050P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value.-2(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.At the a - 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.

a) Assume that μ is the population mean age of coyotes.

Answered: A random sample of 41 adult coyotes in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Help me answer the questions in the pictures with the information below: A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01.

A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of
coyotes is u = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01.
A USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
Hoi u = 1.75 yr; H,: u + 1.75 yr
Hoi H = 1.75 yr; H: u < 1.75 yr
Hoi H = 1.75 yr; H,: H> 1.75 yr
Ho: H < 1.75 yr; H,: H= 1.75 yr
Ho: u > 1.75 yr; H,: H = 1.75 yr
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
The standard normal, since the sample size is large and o is known.
The Student's t, since the sample size is large and e is known.
The Student's t, since the sample size is large and e is unknown.
The standard normal, since the sample size is large and a is unknown.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Estimate the P-value.
O P-value > 0.250
0.100 < P-value < 0.250
0.050 < P-value < 0.100
0.010 < P-value < 0.050
P-value < 0.010

Sketch the sampling distribution and show the area corresponding to the P-value.
-2
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
At the a - 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.
There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.

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 + ...

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