Two-lined salamanders have weights that are normally distributed and on average 12.1 grams with a standard deviation of 1.9 grams. A randomsample of 8 two-lined salamanders is selected and weighed.The probability that the sample mean is between 12.1-x and 12.1+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of xHint recall the Empirical Rule of the normal distribution.O a. The sample sizę is too small, so we cannot make probability calculations aboút the sample_mean.O b. 1.90O c. 0.24O d. 0.95O e. 12.10O f. 0.67

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Answered: Two-lined salamanders have weights that…

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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a soft drink as an average of 12.25 oz suppose x is normally distrubuted with a standard deviation of 0.16 oz if 16 cans are randomly selected and the volume is checked whats the probability that the average of the sample is more than 12.5 oz
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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
A particular fruit's weights are normally distributed, with a mean of 307 grams and a standard deviation of 25 grams.If you pick 25 fruit at random, what is the probability that their mean weight will be between 315 grams and 317 grams? Round answer to at least 4 decimal places.
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Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, µ, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H ,) that should be used for the test? H:u is 7 In the context of this test, what is a Type I error? АТурe I error is 7 fact, u is 7 | the hypothesis that µ is ? when, in Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?
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