Suppose that the caffeine in one tablespoon of Folgers is normally distributed with a mean of 45 mg and a standard deviation of 5.4 mg. Aquality control chemist then samples 18 tablespoons and measures the amount of caffeine.a) Fill in the blanks for the sampling distribution of the sample mean of caffeine in the 18 tablespoons. Round to two decimals)b) Find the probability that the sample mean of caffeine in the 18 tablespoons exceeds 47 mg. Round to four decimal places.c) Find the probability when the total amount of caffeine in the 18 tablespoons is less than 765 mg. Round to four decimal places.

Answered: Image /qna-images/answer/787fa949-00fa-45df-b231-44681f095897.jpg

Answered: Suppose that the caffeine in one…

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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According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.7, 1.8, 1, 0.6, 3, 0.9, 0.9, 1, 3.2, 1.5, 0.1, 0.1, 3.2 What can be concluded at the αα = 0.10 level of significance? The test statistic = ___________ (please show your answer to 3 decimal places.) The p-value = ____________ (Please show your answer to 4 decimal places.)
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
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Given the sample data {1, 1, 3, 4, 6}.Calculate the mean.Calculate the standard deviation.
Compute the standard deviation of the sampled proportions if p=.8 and n=50. Round to three places.
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…
In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would be: a. Less than 64 or greater than 96 b. Less than 60 or greater than 100 c. Less than 52 or greater than 108

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