A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of colahas a mean caffeine content of 48.6 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At a= 0.05, can you reject the company's claim? Complete parts (a) through(e).Identify the rejection region(s). Choose the correct answer below.O A.OB.C.Fail to reject Ho-Fail to reject Ho.Fail to reject Ho-Reject HoReject HoReject Ho-Reject Ho-(c) Find the standardized test statistic.(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.MoreNextTextbookCalculator6:08 AM50°F12/6/202199+O Type here to searchD6 AYovoDG521_AUX10/05/17DeletePrtScInsertF12F11F9F10F7F8NumLocF6F5F4F1F2F3Backspace&%236708153PnTY.UER+ I/* 001.小44

To test the significant of one population mean when sample size is sufficient large with known…

Answered: A company that makes cola drinks states…

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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The average number of strawberries that come in a pint is 27.9, with a standard deviation of 7.8. Assume that the number of strawberries in a pint is normally distributed. What percentage of pints would have 31 strawberries or more? Enter your answer as a percent rounded to one decimal place.
In a certain population, triglyceride levels are approximately normally distributed with a mean of 150 mg/DL and a standard deviation of 42 mg/DL. Health experts define a level of 200 mg/DL or more as being high (and unhealthy, presumably). What percentage of this population would be considered to have an unhealthy triglyceride level? On your own piece of paper, draw a diagram, calculate a z-score, show your calculator commands and write your answer as a decimal to four place values. For example, probability = 0.0334 Take a picture of your work and upload where indicated.
The scores on the final exam in a statistics course are close to being normally distributed. The mean score is 60 points, and four-fifths of the class score between 45 and 75. The standard deviation of the scores 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 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…
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 = 18.6 inches, with estimated standard deviation s = 3.4 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. What is the value of the sample test statistic? (Round your answer to three decimal places.)Estimate the P-value. a) P-value > 0.250 b) 0.100 < P-value < 0.250 c) 0.050 < P-value < 0.100 d)0.010 < P-value < 0.050 e) P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. 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 α? a) At the α = 0.05…
The average price for a personal computer (PC) is $949.00. If computer prices are approximately normal with a standard deviation of σ = $100, then what amount do the least expensive 10% of personal computer cost less than?
Dr. Shoals predicts that people who walk a mile in moderately high heels and very high heels will differ in their levels of reported back pain. 27 participants walk in 4-inch heels and then 2.5-inch heels. He calculates the standard deviation of the difference scores and finds sD = 3.37. What is the standard error of the difference for difference scores?
Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?
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A normal distribution has a mean of 148 and a standard deviation of 5. Find the z-score for a data value of 136.

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