A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Explain why a distribution with median M=82, mean=71, and standard deviation σ=11 cannot be a normal distribution. Choose the correct answer below. A. The mean is not equal to the median. B. The mean is not equal to the standard distribution. C. The median is not equal to the standard distribution. D. The median is within one standard distribution of the mean.arrow_forwardK You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 25 Model A washing machines is $212. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $228. Assume the population standard deviation is $21. At a=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha What is the claim? OA. The mean repair costs for Model A and Model B are equal. OB. The mean repair cost for Model A is less than Model B. OC. The mean repair costs for Model A and Model B are different. OD. The mean repair cost for Model A is greater than Model B. Let u₁ be the mean repair cost for Model A and let ₂ be the mean repair cost for Model B. What are Ho and H₂? OA. Ho: H1 H2 Ha H₁242 OD.…arrow_forwardpr The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not premature. /2 pr Click to view page 1 of the table. Click to view page 2 of the table. /2 a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) pr b. Babies who are born on or before 12 days are considered premature. (Round to the nearest integer as needed.) /2 12 uc /2 12 or /2 or (2 Enter your answer in each of the answer boxes.arrow_forward
- The average number of words in a romance novel is 64,159 and the standard deviation is 17,401. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(__________ , ___________) b. Find the proportion of all novels that are between 50,238 and 58,939 words. _______________c. The 85th percentile for novels is_____________________ words. (Round to the nearest word)d. The middle 60% of romance novels have from ______________ words to ________________words. (Round to the nearest word)arrow_forwardThe weight of all cans of coffee has a standard deviation of 0.76 ounces. A sample of 48 cans of coffee is taken study. Which of the following best describes the distribution of x¯?A. The distribution of x¯ is normal becuase it is always normalB. The distribution of x¯ may not be approximately normal because n = 48C. The distribution of x¯ is approximately normal becuase n = 48D. The distribution of x¯ is not normal because the population is normalE. None of the abovearrow_forwardPlease see attached.arrow_forward
- You would like to know the average hourly wage in your area. You ask 20 people, and find a sample mean of 8.50 dollars. The population standard deviation is 2.89 dollars. Assume that distribution is normal. a. Give a point estimate for the mean hourly wage.b. Give the 90% margin of error for the mean. c. Write a sentence about the results. The average hourly wage in my area is about ________, give or take _______.arrow_forwardThe amount of calories in a slice of cheese pizza follows a Normal Distribution with a mean of 264 calories and a standard deviation of 24 calories. For each question sketch a graph of the distribution demonstrating the value you are asked to find. A. What amount of calories represent the 67th percentile? i.e what amount of caloris is larger than 67% of slices? B.What amount of calories represents the top 1% of calories C. What amounts of calories represent the middle 41% of calorie?arrow_forwardUse Table A (Standard Normal Distribution) to find the proportion of observations that satisfies each of the following statements. In each case, shade the area under the curve that is the answer to the question. The table chart below is the one that needs to be looked at to find the proportion of observations that satisfies each of the following statements. The table chart along with the questions that needs to be correctly answered and shaded are below. This deals with Measures of Variations.arrow_forward
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