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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The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen Let X-the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible a What is the distribution of X? X N b. Find the probability that this American man consumes between 9.7 and 10.5 grams of sodium per day c. The middle 10% of American men consume between what two weights of sodium? Low High
Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.0 and a standard deviation of 65.4. (All units are 1000 cells/μL.) Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviations of the mean? What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean? Click the icon to view the table of platelet counts. Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviations of the mean? At least % of women have platelet counts within 3 standard deviations of the mean. (Round to the nearest integer as needed.) What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean? The minimum possible platelet count within 3 standard deviations of the mean is. The maximum possible platelet count within 3…
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 25 areas designated as "casualty doors" was 6.0 dBA and the standard deviation of 21 areas designated as operating theaters was 3.7= dBA. At a0.05, can you substantiate the claim that there is a difference in the standard deviations? Use σ1 for the standard deviation of the sound levels from areas designated as "casualty doors." (a)State the hypotheses and identify the claim. H0: H1: This hypothesis test is a one tailed/two-tailed test. (b)Find the critical value. Round the answer to two decimal places. Critical value= (c)Compute the test value. Round the F score value to two decimal places as needed. F= (d)Make the decision. Reject/do not rejecct the null hypothesis. (e)Summarize the results. There is/is not enough evidence to support the claim that there is/is not a difference in the standard deviations of the sound levels.
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24.
The heights of people in a certain population are normally distributed with a mean of 63 inches and a standard deviation of 4.3 inches. Suppose that a normal model applies.The model that correctly shows the 68-95-99.7 rule (empirical rule) for tree diameter is model: C A B About 68% of heights fall in the range described by option between 54.4 and 71.6. above 67.3. between 50.1 and 75.9. between 58.7 and 67.3. below 58.7. What percent of people in this population have heights below 54.4?
3.
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator. Part 1 of 2 Find the probability that x will be between 25 and 27. Round the answer to four decimal places. The probability that x will be between 25 and 27 is Part 2 of 2 th Find the 55 percentile of X. Round the answer to two decimal places. The 55th percentile is
A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams.If you pick 20 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material. Sample from new material: mean is 98.064 , SD is 5.6 and sample size is 13 Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78 We do not know population standard deviations. Consider the test ?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.
In a random sample of 8 cell phones, the mean full retail price was $549.30 and the standard deviation was $182.00. Further research suggests that the population mean is $425.14. Does the t-value for the original sample fall between - to 95 and to 95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decima d.) does not does
The lengths of bolts produced in a factory may be taken to be normally distributed. The botlts are checked on two "go-no go" gauges and those shorter tthan 2.9 or longer than 3.1 inches are rejected. A random sample of 50 bolts are checked. If the n1 = 12 and n2 = 12, estimate the mean and the standard deviation for these bolts. State your assumptions. n1 being the number of bolts below 2.9 and n2 is the number of bolts above 3.1.

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