3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation ofabout 2.5 inches. If we know that a randomly selected U.S. adult female is at least 66 inches tall, what is the probability theyare taller than 68 inches?4. What is the answer to question three above if we take a random sample of nine (9) U.S. adult fernales? That is, if we know thesample mean is at least 66 inches, what is the probability the sample mean is more than 68 inches?

Let X be the random variables that denotes the height of adult females. Given information: X~Nμ, σ…

Answered: 3. We know that heights of U.S. adult…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. Rini prefers red M&Ms over any other color. The Mars Company, makers of M&Ms, claims that 20% of all M&Ms are red. Rini plans to remove M&Ms from her bag one at a time until she gets her first red. What is the standard deviation of the number of M&Ms she will remove?
A psychologist believes that it will take at least an hour for certain special child to learn a task. A random sample of 30 of these children results in a mean of 50 minutes to learn a task. Should the psychologist modify her belief at 0.01 level if the population standard deviation can be assumed to be 15 minutes?
In a HuffPost Style and YouGov poll, 1000 US adults were asked about their online vs. in store clothes shopping. One finding was that 32% of respondents never clothes-shop online. 1. What is the sample size n? 2. What is ??̂ , the mean of the sample proportion ?̂? 3. What is ??̂, the standard deviation of the sample proportion ?̂? 4. What is the probability that the percentage of respondents who never shop online is below 33.3%?
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
4. Manufacturer A's television picture tubes have a mean lifespan of 7.3 years and a standard deviation of 0.57 years; while those of manufacturer B have a mean duration of 6.39 years and a standard deviation of 0.42 years. What is the probability that a random sample of 39 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 43 kinescopes from manufacturer B? Round your answer to four decimal places after the period.
A) The distribution of the number of gallons of water used for taking a shower in the UnitedStates are skewed right. Some people take long showers using as much as 63 gallons compared to the average of 17.2 gallons. A conservationist is interested in the mean number of gallons of water used in college apartments housing 4 students. Assuming a standard deviation of 4.2 gallons for all US showers, what is the probability that a random sample of 30 college student showers will have a mean water usage of more than 19 gallons of water? This question is for AP statistics about sampling distribution and normal model. Can you help me with this?
3. The braking distance for a Krazy-Car traveling at 50 mph is normally distributed with a mean of 50 ft. and a standard deviation of 5 ft. Answer the following without using a calculator or a table. • What is the likelihood a Krazy-Car will take more than 65 ft. to stop? • What is the probability a Krazy-Car will stop between 45 ft. and 55 ft.? • What percent of the time will a Krazy-Car traveling at 50 mph stop between 35 and 55 ft.? • What is the probability a Krazy-Car will require less than 50 ft. or more than 60 ft. to stop?
A. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. If a pharmacy tech is selected at random, what is the probability they make more than $38,000? The answer should be typed as a decimal with 4 decimal places. B. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. What is the minimum salary to be considered the top 6%? Round final answer to the nearest whole number. C. The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
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Records from the Washington Department of Licensing show that 47 former SFCC business students have incorporated their own businesses in the last five years. Eight of these students are selected at random and contacted. Each is asked how many people are employed by their corporation. The responses are: 7, 12, 13, 17, 10, 5, 10, and 6 employees. What is your best estimate of the standard deviation of the number of employees for all 47 corporations?
2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first marriage. She randomly selected a sample of 24 and 21 married women from Village A and Village B, respectively. The following data are the mean and standard deviation for each group: Village A: x = 18.63 and s = 5.54 Village B: x = 24.90 and s = 5.54 Test the hypothesis that the women in Village A get married younger than women in Village B. Use 0.10 significance level. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Degrees of Freedom (df): Critical Region: Step 4: Compute the z or t value Computations: Step 5: Decide whether to accept or reject Ho Step 6: Conclusion

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