Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is - 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x- 18.6 inches, with estimated standard deviation s - 2.5 inches. Do these data indicate that the average length of atrout caught in Pyramid Lake is less than - 19 inches? Use a- 0.05.A USE SALT(a) What is the level of significance?State the null and alternate hypothesesO Hg: < 19 in; H,- 19 inO Ha: H> 19 in; H,: - 19 inO H: - 19 in; H, 19 inO H: - 19 in; ,< 19 inOH - 19 in; H,> 19 in(b) What sampling distribution will you use? Explainrationale 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 a is unknown.O The Studet's t, since the sample size is large and a is known.O The standard normal, since the sample size is large and a is known.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Estimate the Pvalue.O P-value > 0.010O 0.0010 < P.value < 0.010O 0.250 < P-value < 0.0010O0. 125 sP.value < 0.250O P-value < 0.125Sketch the sampling distribution and show the area corresponding to the Pvalue.(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- 0.05 level, we resect the nul hypothesis and conclude the data are statistically significant.O At the a - 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a - 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a - 0.05 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 0.05 level to condude that the average fish length is less than 19 inches.O There is insufficient evidence at the 0.05 level to conclude that the average fish length is less than 19 inches.

a) Assume that μ is the true mean length of trout caught in Lake P.

Answered: Pyramid Lake is en the Paiute andan…

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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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.9 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. i-What is the value of the sample test statistic? (Round your answer to three decimal places.)
In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. -..-- a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Hą? Ho:µ+37 O A. Ha: H= 37 Ho: µ> 37 O B. Ha: us 37 Ho: μ237 OC. Haiu 37 Ho: H = 37 Hạ: H#37 Find the test statistic. t= - 0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. A. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a…
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i already have answer in question A-D. please help me to solve the rest. topic is unkown standard deviation
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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.) test statistic = critical value = State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches.Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. Fail to reject the null hypothesis, there is…
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous fortrout. Suppose that a friend tells you that the average length of trout caught in PyramidLake is μ = 20 inches. However, the Creel survey reported that for a random sample of 27fish caught, the mean length was 22.1 inches with a sample standard deviation of 4.3inches. Does this data indicate that the average length of trout caught at Pyramid Lake ismore than 20 inches? Use α = 0.05.a. State the null hypothesis. ___________ State the alternative hypothesis. ________________b. Find the test statistic. ______ c. Find the P-value for the test._____________

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