The mean weight of all 20-year-old women in a certain region is 130 pounds. A random sample of 50 vegetarian women in the region who are 20 years old showeda sample mean of 124 pounds with a standard deviation of 15 pounds. The women's measurements were independent of each other. Complete parts (a) through (c)below.a. Determine whether the mean weight for 20-year old vegetarian women in the region is significantly less than 130, using a significance level of 0.05.Which of the following correctly states H, and H,?O A. Ho: u#130H3: p= 130B. Ho: p= 130OC. Ho: p< 130H p<130H p2 130O D. Ho: p= 130Ha: p#130O E. Ho p= 130OF Ho p> 130H p> 130H ps 130The test statistic is -2.83(Round to two decimal places as needed.)The p-value is |(Round to three decimal places as needed.)

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Answered: The mean weight of all 20-year-old…

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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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
A quick survey of peanut butter prices had standard deviation and mean of $.26 and $3.68 respectively. Compute the area for a peanut butter jar costing more than $4.25
Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 X2 n1 30 n2 25 What are the null and alternative hypotheses for this test? A. Ho: H1 - H22 10,500 Ha: H1 - H2 10,500 Ha: H1 - H2s 10,500 O F. Ho: H1 - H2 S 10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…
A variable is normally distributed with mean 39 and standard deviation 13. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 62.4. b) Find the area under the normal curve to the left of the data value 66,3. c) Find the area under the normal curve to the right of the data. value 51.35. d) Find the area under the normal curve to the right of the date value 43.55. e) Find the area under the normal curve between the data values 43.55 and 66.3.

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