4. A special cable has a breaking strength of 800pounds. The standard deviation of the populationis 189 pounds. A researcher selects a sample of25 cables and finds that the average breakingstrength is 738 pounds. Can he reject the claimthat the breaking strength is 800 pounds ata=0.05?5. The percentage of physicians who are womenis 29.9%. In a survey of physiciansemployed by a large university health system, 45of 120 randomly selected physicians werewomen. Is there sufficient evidence at the 0.05level of significance to conclude that theproportion of women physicians at the universityhealth system exceeds 29.9%?

Note:According to the bartleby expert guidelines we can solve only first question rest can be…

Answered: 4. A special cable has a breaking…

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 particular fruit's weights are normally distributed, with a mean of 442 grams and a standard deviation of 35 grams. If you pick 9 fruits at random, then 10% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 419 grams and a standard deviation of 7 grams.If you pick 3 fruits at random, then 9% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 585 grams and a standard deviation of 18 grams.If you pick 15 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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.
The hip width x of adult females is normally distributed with a mean of 38.3 cm and a standard deviation of 4.37 cm. The maximum width of an aircraft seat that will accommodate 86% of all adult women is about: (Give your answer to one decimal places if necessary.)
A particular fruit's weights are normally distributed, with a mean of 271 grams and a standard deviation of 28 grams.If you pick 3 fruits at random, then 7% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 317 grams and a standard deviation of 29 grams. If you pick 25 fruits at random, then 5% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 689 grams and a standard deviation of 13 grams.If you pick 10 fruits at random, then 4% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
Answer number 4 only..
3. The average height of a male student in the EDA class of Engr. Ventura in PLM has historically been 1.625 meters with a standard deviation of 0.07 meter. Is there a reason to believe that there has been a change in the average height of male EDA students under Engr. Ventura if a random sample of 50 males in the present EDA class has an average height of 1.652 meters? Assume the standard deviation remains the same.
A population has a mean u= 81 and a standard deviation o = 21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 255. (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)

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4. A special cable has a breaking strength of 800 pounds. The standard deviation of the population is 189 pounds. A researcher selects a sample of 25 cables and finds that the average breaking strength is 738 pounds. Can he reject the claim that the breaking strength is 800 pounds at a=0.05?