According to a particular marketing corporation, the per capita consumption of bottled water is 3.8 gallons per month. Assume the standard deviation for this population is 0.75 gallons per month. Consider a random sample of 49 people.a. What is the probability that the sample mean will be less than 3.7 gallons per month?b. What is the probability that the sample mean will be more than 3.5 gallons per month?c. Identify the symmetrical interval that includes 94% of the sample means if the true population mean is 3.8 gallons per month.a. The probability that the sample mean will be less than 3.7 gallons per month is(Type an integer or decimal rounded to four decimal places as needed.)b. The probability that the sample mean will be more than 3.5 gallons per month is(Type an integer or decimal rounded to four decimal places as needed.)c. The lower bound of the symmetrical interval is and the upper bound is(Type integers or decimals rounded to two decimal places as needed.)

Answered: Image /qna-images/answer/7f23af1c-fa6f-45c3-bff6-683358a43b45.jpg

Answered: a. The probability that the sample mean…

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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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 137 124 128 64 78 April 104 115 102 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. (Let d = January − April.) (a) What is the level of significance? What is the value of the sample test statistic?
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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station January April USE SALT Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. (Let d = January - April.) (a) What is the level of significance? 1 2 3 4 5 137 120 126 64 78 104 115 102 88 61 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: My = 0₁ H₁: 0; two-tailed O Hoi Hd O1 H₁: M O Hot Hd = 0; H₁: O Hot Hd = 0; H₁² = 0; right-tailed 0; right-tailed (b) What sampling…
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