Type if A if you should accept the study as having a mean not to different from the population mean. Type R ifyou should reject the study as having a too different mean from the population mean.A researcher wants to determine whether the mean height of 31, 18 year old Filipino teens is significantlydifferent from the population average of 5.2 ft. The mean and the standard deviation of the scores of theresearcher's study is 5.4 ft and 7; respectively. Assume a 99% confidence level.A researcher wants to determine whether the mean lifespan of 16 pet goldfish living in the same tank issignificantly different from the population average of 12 years. The mean and the standard deviation of thepet goldfish's lifespan is 9.5 and 11; respectively. Assume a 90% confidence level.

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Answered: A researcher wants to determine whether…

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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Can the standard deviation of a data set be zero?
An economist wants to find out if there is difference in the monthly expenses of families from Makati and QuezonCity. He surveyed 10 families in Makati and 12 families on Quezon City. He found that the average monthly expensesin Makati is Php. 28, 450 with a standard deviation of Php. 3,100, while in Quezon City, the average monthlyexpenses is Php. 27, 950 with standard deviation of Php. 3,020. At 5% level of significance, what can be concludedabout the data? What is the critical value of the test statistic?
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 μ = 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= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (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 o is known. 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 unknown. O The Student's t, since the sample size is large and is…
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 μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…
You are provided with a mean of 28.18 with a standard deviation of 4.33. What percent of students had a score between the mean and 26.25?
A university dean wishes to estimate the average number of hours that freshmen study each week. The standard deviation from previous study is 6 hours. How large a sample must be selected if the dean wants his estimate to be within 0.3 from the true mean with 90% confidence?
A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The precalculus exam had a mean score of 72.3 with a standard deviation of 8.4. On the other hand, the statistics exam had a mean score of 87.4 with a standard deviation of 11.4. Determine which exam the student earned a better score on with respect to her peers.
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It takes an average of 9.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 50 injured patients to immediately tell the truth about the injury and noticed that they averaged 9.2 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.79 minutes. What can be concluded at the the 0.05 level of significance? a. The test statistics t = (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
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.)
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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…

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A researcher wants to determine whether the mean height of 31, 18 year old Filipino teens is significantly different from the population average of 5.2 ft. The mean and the standard deviation of the scores of the researcher's study is 5.4 ft and 7; respectively. Assume a 99% confidence level.