=A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x 2.03 years, with sample standard deviation s = 0.78 years. However, it is thought that theoverall population mean age of coyotes is μ = 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) What is the level of significance?State the null and alternate hypotheses.O Ho: μ = 1.75 yr; H₁: < 1.75 yrO Ho: μ = 1.75 yr; H₁: μ ‡ 1.75 yrO Ho: μ< 1.75 yr; H₁: μ = 1.75 yrHo: μ = 1.75 yr; H₁: μ > 1.75 yrO Ho: μ> 1.75 yr; H₁: μ = 1.75 yr(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.O The standard normal, since the sample size is large and a is unknown.O The Student's t, since the sample size is large and σ is unknown.O The Student's t, since the sample size is large and o is known.O The standard normal, since the sample size is large and o is known.10(c) Estimate the P-value.OP-value > 0.250O 0.100 < P-value < 0.250O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O P-value < 0.0102000-4-40-10P30-09-1What is the value of the sample test statistic? (Round your answer to three decimal places.)Sketch the sampling distribution and show the area corresponding to the P-value.7:14 P Sketch the sampling distribution and show the area corresponding to the P-value.O-2-2002244T-2-20224(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?O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a =0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O 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.O 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.O 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.4

Sample size Sample mean Sample standard deviation Hypothesized value of overall population mean is…

Answered: A random sample of 46 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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Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
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The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12.3 years old. Do the data support the claim at the 5% significance level? What are the correct hypotheses? Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 2 decimal places) From the table(https://ma336.qccmathcs.com/ ), Find p-value = (Give answer to at least 4 decimal places)
The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Ho: LU Test Statistic z = #v Critical Values =+ O OF 13 H₁: u Based on the hypotheses, find the following: 13 o years (Round to 4 decimal places.) (Round to 2 decimal places.) Based on the above we choose to Reject the null hypothesis years The correct summary would be: There is enough evidence to support the claim smokers first start is different than 13. that the mean age
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