The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.5 and a standard deviation of13 gallons.a. What is the probability that someone consumed more than 36 gallons of bottled water?b. What is the probability that someone consumed between 30 and 40 gallons of bottled water?c. What is the probability that someone consumed less than 30 gallons of bottled water?d. 99.5% of people consumed less than how many gallons of bottled water?Instructor tip- Xa. The probability that someone consumed more than 36 gallons of bottled water is 0.3361(Round to four decimal places as needed.)b. The probability that someone consumed between 30 and 40 gallons of bottled water is 0.2829(Round to four decimal places as needed.)Use Excel functions or the normal probability applet:https://davidmlane.com/hyperstat/z_table.htmlc. The probability that someone consumed less than 30 gallons of bottled water is 0.4847(Round to four decimal places as needed.)d. 99.5% of people consumed less than(Round to two decimal places as needed.)gallons of bottled water.CloseView instructor tip4:10 PMP Type here to search66°F3/24/2022insertprt sc144IOIesc+ backspace244.&7.@%236.8.3.YW

Given Data : Population Mean,μ = 30.5 Population Standard Deviation,σ = 13

Answered: 国 The annual per capita consumption of…

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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What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. A. The probability increases because the variability in the sample mean decreases as the sample size increases. B. The probability increases because the variability in the sample mean increases as the sample size increases. C. The probability decreases because the variability in the sample mean increases as the sample size increases. D. The probability decreases because the variability in the sample mean decreases as the sample size increases.
23. TV sets: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn. a. What is the probability that the sample mean number of TV sets is greater than 2? b. What is the probability that the sample mean number of TV sets is between 2.5 and 3? c. Find the 30th percentile of the sample mean. d. Would it be unusual for the sample mean to be less than 2? e. Can you tell whether it would be unusual for an individual household to have fewer than 2 TV sets? Explain.
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3) What graphs can help us identify a normal distribution? a. Dotplot b. Histogram c. Boxplot d. Normal probability plot pick one a, b, c, d b, c a, b a, b, c b, d
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
A uniform distribution has endpoints of 3 and 12. A. Determine the probability that a randomly selected value is either less than 4 or greater than 9. Report answer to 3 decimal places. B. Determine the value of the 70th percentile. Report answer to 1 decimal place.
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