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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Can you please answer parts c and d of the attached question. Thank you.
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%?
7. Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of 20 dollars. If 74 of these repair bills are randomly selected, find the probability that they have a mean cost between 267 dollars and 269 dollars.
a.4/15 b.2/10 c.3/10 d.1/15 e.1/10
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 poundsb. More than 56 poundsc. Between 55 and 57 poundsd. Less than 54 poundse. Less than 48 pounds(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)a. enter the probability that the sample mean will be more than 58 poundsb. enter the probability that the sample mean will be more than 56 poundsc. enter the probability that the sample mean will be between 55 and 57 poundsd. enter the probability that the sample mean will be less than 54 poundse. enter the probability that the sample mean will be less than 48 pounds
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
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.
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,800 houses. The subdivision was built in 1983. A sample of 110 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $229,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $231,000? Appendix A Statistical Tables (Round the values of z to 2 decimal places, e.g. 15.25. Round your answer to 4 decimal places, e.g. 0.2513.)enter probability rounded to 4 decimal places
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
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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