User Account

All Pages

What is the likelihood that the mean weight

Assignment Help Mathematics
Reference no: EM131112174

1.) The lifetimes of light bulbs of a particular type are normally distributed with a mean of 270 hours and a standard deviation of 11 hours. What percentage of the bulbs has lifetimes that lie within 2 standard deviations of the mean on either side? Apply the 68-95-99.7 rule to this questions.

A. 68%

B. 1005

C. 99.7%

D. 95%

2.) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mm Hg and a standard deviation of 12 mm Hg. What percentage of 18-year-old women have a systolic blood pressure that is within 3 standard deviations of the mean on either side?

Apply the 68-95-99.7 rule to this question.

A. 68%

B. 95%

C. 100%

D. 99.7%

3.) If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, use the 68-95-99.7 rule to approximate the percentage of light bulbs having a life between 2000 hours and 3500 hours?

A. About 13.5%

B. About 50%

C. About 68%

D. About 81.5%

4.) If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, approximately what percentage of light bulbs has a life of more than 3000 hours?

A. About 84%

B. About 68%

C. About 32%

D. About 16%

5) The systolic blood pressures of the patients at a hospital are normally distributed with a mean of 136 mm Hg and a standard deviation of 12 mm Hg. Find the two blood pressures having these properties: the mean is midway between them and 76.98% of all blood pressures are between them.

A. 121.6, 152.4

B. 121.6, 150.4

C. 123.6, 150.4

D. 122.6, 148.4

6) A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 24 and a standard deviation of 4.5. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11.3. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

A. 87

B. 85

C. 86

D. 83

7) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?

A. 0.4192

B. 0.5808

C. 0.0808

D. 0.9192

8) The scores on a certain test are normally distributed with a mean score of 58 and a standard deviation of 4. What is the likelihood that a sample of 90 students will have a mean score of at least 58.4216?

A. 0.8413

B. 0.3413

C. 0.3174

D. 0.1587

9) The mean score on the exit examination for an urban high school is 63 with a standard deviation of 9. What is the standard deviation of the distribution of sample means with a sample size of 9?

A. 2

B. 3

C. 4

D. 4.1

10) A final exam in Math 160 has a mean of 73 with standard deviation 7.73. Assume that a random sample of 24 students is selected and the mean test score of the sample is computed. What percentage of sample means are less than 70?

A. 19.46%

B. 12.85%

C. 2.87%

D. 13.46

11) The amount of Jen's monthly electric bill is normally distributed with a mean of $160 and a standard deviation of $14. Fill in the blanks.

95% of her electric bills are between __________ and __________.

Apply the 68-95-99.7 rule to this question.

A. $140, $190

B. $132, $190

C. $140, $188

D. $132, $188

12) The mean score on the exit examination for an urban high school is 63 with a standard deviation of 8. What is the mean of the distribution of sample means with a sample size of 9?

A. 62

B. 63

C. 63.5

D. 64

13) Which of the following statements concerning the standard normal curve is/are true (if any)?

a) The area under the standard normal curve to the left of -3 is zero.

b) The area under the standard normal curve between any two z-scores is greater than zero.

c) The area under the standard normal curve between two z-scores will be negative if both z-scores are negative.

d) The area under the standard normal curve to the left of any z-score is less than 1.

A. a, b

B. b, d

C. a, c

D. a

14) Decide which of the described variables likely have a normal or near-normal distribution.

1. The number of credits remaining until graduation for the students in a small liberal arts college

2. The heights of male students in an advanced placement mathematics class

3. The number of sixes showing when two dice are rolled

A. a

B. b

C. c

D. None

15) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 225 and 275.

A. 0.2416

B. 0.2418

C. 0.2417

D. 0.2420

16) Decide which of the described variables is/are likely to have a normal or near-normal distribution.

a) The heights of corn stalks in one row of corn that is half a mile long

b) The numbers of viewers of each of the channels from 202 to 550 on Direct TV at 7:00 PM CDT on the third Thursday of November 2012 (349 data values)

A. a

B. b

C. a and b

D. neither

17) The annual precipitation for one city is normally distributed with a mean of 28 inches and a standard deviation of 3.4 inches. Fill in the blanks.
In 95% of the years, the precipitation in this city is between __________ and __________ inches.
Apply the 68-95-99.7 rule to this question.

A. 21.2, 34.8

B. 21.2, 34.6

C. 22.4, 34.6

D. 22.4, 34.8

18) The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 6. If 9 fish are randomly selected, what is the likelihood that the mean weight will be between 17.6 and 21.6 lb?

A. 0.9370

B. 0.6800

C. 0.6730

D. 0.0968

19) At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.6. Find the 70th percentile.

A. 3.53

B. 3.42

C. 3.23

D. 3.13

20) The lifetimes of projector bulbs of a particular type are normally distributed with a mean of 470 hours and a standard deviation of 15 hours. What percentage of the bulbs has lifetimes that lie within 2 standard deviations of the mean on either side?

A. 68%

B. 99.7%

C. 95%

D. 100%

Reference no: EM131112174

Questions Cloud

What is the value of brash’s stock : Brash Corporation initiated a new corporate strategy that fixes its annual dividend at $2.25 per share forever. If the risk-free rate is 4.5% and the risk premium on Brash’s stock is 10.8%,what is the value of Brash’s stock?
What is the change in inventory : A process has a cycle time of 10 minutes. The throughput time is 10 hours. If the throughput time is reduced to 5 hours without changing the cycle time, what is the change in inventory (as a percentage)?
Coefficient of variation of the service time : At a bank, the tellers on average take 10 minutes per customer, with a standard deviation of 7 minutes. What is the coefficient of variation of the service time?
What is the likelihood that the mean weight : The lifetimes of projector bulbs of a particular type are normally distributed with a mean of 470 hours and a standard deviation of 15 hours. What percentage of the bulbs has lifetimes that lie within 2 standard deviations of the mean on either si..
Operations management and marketing : Explain two trade-offs (one between operations management and marketing, and the other between operations management and finance) on Walmart's decision to "use grocery delivery service with Uber and Lyft..." http://cb.pr/wal-mart-testing-uber-lyft..
Describe the primary functions of management : Explain the principal theories and the various approaches to management that have evolved over time and their application to current management situations.
Analysis of the impact of the product life cycle : For your Individual Assignment, write an analysis of the impact of the product life cycle on the development of logistics and distribution strategy for one or more products in your organisation or one with which you are familiar.
Define entrepreneurship : (i) Define Entrepreneurship. (ii) Write any two organizations name those are working for entrepreneurship development? (iii) Write any two types of entrepreneurial competencies?

Reviews

Write a Review

Mathematics Questions & Answers

  Desribe the importance of quadratic equations

Desribe the importance of quadratic equations to a basketball player, a diver, or even a sniper. Give an example of a real world situtation where you would apply quadratic equations.

  Draw two force diagrams showing all the forces

Choose axes- Draw a diagram, marking clearly your choice of coordinate axes and draw force diagrams! Modelling the blocks as particles, draw two force diagrams showing all the forces acting on the two particles

  Denote an equilateral triangular board with side length

Let T(n) denote an equilateral triangular board with side length of 2^n units, subdivided into 4^n equilateral triangles with side length of one unit each. A trapezoidal tile (or triangular triomino) is a tile consisting of 3 adjacent equilater..

  For a certain animal species, the probability that a female

Probability - offspring, For a certain animal species, the probability that a female will have a certain number of offspring in a given year is given

  Identify a reasonable domain and range for the radius

the volume V of a sphere with radius r is given by V=4/3 pi r squared. Identify a reasonable domain and range for the radius and volume.

  Calculate the slope of the tangent line at the point

Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.

  Linear programming objective function

Which of the following could be a linear programming objective function?

  Find the angle of the take-off relative to the horizontal

at the instant of take-off a long jumper has a forward velocity of 32 ms and a vertical velocity of 12 ms. find the

  What minimum constant deceleration is required to stop

A car is traveling at 88 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?

  What is the temperature of the coffee after 14 minutes

A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .

  What can you say about overall process capability

Consider the situation described- A critical dimension (measured in mm) is of interest to the process engineer. Suppose that five fixed positions are used on each wafer (position 1 is the center) and that two consecutive wafers are selected from e..

  What is the percent of increase in sales from last year

Kent worked in the housewares section of a department store. This year he set a record high for vacuum sales with 567 vacuums sold. The previous high was last year, when 540 vacuums were sold. What is the percent of increase in sales from last yea..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd