5. The annual profits of small business owners in the town of Brownville has a normal...
5. The annual profits of small business owners in the town of Brownville has a normal distribution with mean $60,000 and standard deviation $5000. 8½ points a. Calculate Z scores for the following four profits: $50,000, $55,000, $65,000, and $70,000. b. What proportion of the distribution falls below the profit of $50,000? c. What proportion of the distribution falls between the profits of $55,000 and $50,000? d. What proportion of the distribution falls between the profit of $60,000 and $65,000? e. What proportion of the distribution falls above the profit of $65,000? f. What is the probability that a randomly selected business owner in this distribution has a profit between $50,000 and $70,000? [Hint: Remember when I am asking proportion, I mean the area under the curve in proportion as provided in the Normal Curve Table at the back of the Book].
Homework Answers
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5. The annual profits of small business owners in the town of
Brownville has a normal...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
QUESTION 1 The normal curve is particularly useful as a model for a. data in which...
QUESTION 1 The normal curve is particularly useful as a model for a. data in which mean and median differ b. many populations of psychological and educational data c. distributions of sample statistics d. both (b) and (c) above QUESTION 2 A distribution has a mean of 60 and a standard deviation of 8. For a score of 72, the equivalent z score a. is +1.5 b. is between 0 and +1.0 c. is + 1.2 d. cannot be determined...
Example 2 - Part 3 4. The annual salary for a certain job has a normal...
Example 2 - Part 3 4. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of a = $5000. What is the probability that the mean salary of a random selected sample has between $49,000 and $56, 150? a. Which picture (below) shows the requested area? Curve 3 Curve Image Curve 1 -40 -30 -10 To 2a Da 40 Curve 2 MacBook Air FT 80 F2 F4 F5 7...
1. Use Table A to find the proportion of observations from a standard Normal distribution that...
1. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to each question. a. z<-1.83 b.z > 2.18 c. Z>-0.51 d. z <0.33 e. 1.42<z <2.68 f.-2 <2<1.53 X is a normally distributed variable with mean u = 30 and standard deviation o = 4. Find the following: a....
18. Find the area under the normal curve between z--1.25 and z-1.0 a) .7486 19. If...
18. Find the area under the normal curve between z--1.25 and z-1.0 a) .7486 19. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, find the proportion of scores less than 88 a) .3173 20. Same as above except find the proportion of scores greater than I standard deviation from the mean. a) .3173 21. Consider a university with a population mean GPA of 2.95, a standard deviation of.2, and a sampling...
Please show all work. Thanks. Bhen and Geri run an ice cream business in the town...
Please show all work.
Thanks.
Bhen and Geri run an ice cream business in the town of Palouse, WA. To produce the ice cream, they hire labor L at a wage of W dollars per worker. L is the only input in production. L workers produce Y pints of ice cream according to the production function, Y = F(L)-101-9L 2 They then sell the ice cream at the price of P dollars per pint of ice cream. 1. Plot the...
Given a frequency distribution of 10,000 scores, which approximates the normal curve and has a mean...
Given a frequency distribution of 10,000 scores, which approximates the normal curve and has a mean of 120 and a standard deviation of 15, the top 80% had a what raw score or greater? a. 106 b. 94.34 c. 110 d. 107.4 The highway department conducted a study measuring driving speeds on a local section of interstate highway. They found an average speed of 58 miles per hour with a standard deviation of 10. Given this information, what proportion of...
Question 11: The length of life of an instrument produced by a machine has a normal...
Question 11: The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a) less than 7 months. b) between 7 and 12 months. Question 12 The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. a) What...
xa3 led that their annual incomes from employment n industry during the day were normally distributed...
xa3 led that their annual incomes from employment n industry during the day were normally distributed a standard deviation of $3,000. 14).A sample of 500 evening students revea with a mean income of $30,000 and 5-000 (i) 250 students earned more than $30,000 (ii) 314 students earned between $27,000 and $33,000. (iii) 239 students earned between $24,000 and $30,000. A) and(i) are correct statements but not (ii). (i) and (iii) are correct statements but not (ii). ) and (iii) are...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
Example 2 - Part 3 4. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of a = $5000. What is the probability that the mean salary of a random selected sample has between $49,000 and $56, 150? a. Which picture (below) shows the requested area? Curve 3 Curve Image Curve 1 -40 -30 -10 To 2a Da 40 Curve 2 MacBook Air FT 80 F2 F4 F5 7...
1. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to each question. a. z<-1.83 b.z > 2.18 c. Z>-0.51 d. z <0.33 e. 1.42<z <2.68 f.-2 <2<1.53 X is a normally distributed variable with mean u = 30 and standard deviation o = 4. Find the following: a....
18. Find the area under the normal curve between z--1.25 and z-1.0 a) .7486 19. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, find the proportion of scores less than 88 a) .3173 20. Same as above except find the proportion of scores greater than I standard deviation from the mean. a) .3173 21. Consider a university with a population mean GPA of 2.95, a standard deviation of.2, and a sampling...
Please show all work.
Thanks.
Bhen and Geri run an ice cream business in the town of Palouse, WA. To produce the ice cream, they hire labor L at a wage of W dollars per worker. L is the only input in production. L workers produce Y pints of ice cream according to the production function, Y = F(L)-101-9L 2 They then sell the ice cream at the price of P dollars per pint of ice cream. 1. Plot the...
Question 11: The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a) less than 7 months. b) between 7 and 12 months. Question 12 The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. a) What...
xa3 led that their annual incomes from employment n industry during the day were normally distributed a standard deviation of $3,000. 14).A sample of 500 evening students revea with a mean income of $30,000 and 5-000 (i) 250 students earned more than $30,000 (ii) 314 students earned between $27,000 and $33,000. (iii) 239 students earned between $24,000 and $30,000. A) and(i) are correct statements but not (ii). (i) and (iii) are correct statements but not (ii). ) and (iii) are...
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