←A boat capsized and sank in a lake. Based on an assumption of a mean weight of 146 lb, the boat was rated to carry 70 passengers (so the load limit was 10,220 lb). After the boat sank, the assumed meanweight for similar boats was changed from 146 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 a mean of 177.5 lb and a standard deviation of 38.1 lb. Find the probability thatthe boat is overloaded because the 70 passengers have a mean weight greater than 146 lbThe probability is(Round to four decimal places as needed)

Sample size n=70Population mean=177.5Population standard deviation=38.1

Answered: 16 A boat capsized and sank in a lake.…

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...

See similar textbooks

Similar questions

A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete's strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the concrete (in psi). 3940 4060 3220 3080 2920 3870 4060 4030 3790 Compute the mean strength. Select the correct choice below and fill in the answer box to complete your choice. OA. The mean strength is 10 (Round to two decimal places as needed.) B. The mean does not exist. Compute the median strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The median strength is (Round to two decimal places as needed.) B. The median does not exist. Compute the mode strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mode…
11. The variance for the weight of a breed of cattle is 256 lb2. The mean is 453 lb. How heavy would the animal have to be to be in the top 16% of the herd? Select one:a. 719 lbs.b. 479 lbs.c. 511 lbs.d. 463 lbs.
Español A r.able indicator of a baby's health is the weight gained in the fir year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 3.454 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you…
We asked UST employees to tell us how many megabytes of memory (RAM) they have on their computer. WWe would like to test to see if the mean amount of memory is the same for three different academic departments. We have the memory amounts for six faculty members' machines in the three departments shown below. Dept. 1 Dept. 2 Dept. 3 1 2048 4096 4096 2 2048 2048 4096 3. 2048 2048 8192 computer 4 2048 4096 8192 2048 2048 4096 6. 2048 8192 4096 Here is the ANOVA table: Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 34952533 17476267 XXX 0.020 Error XX 51030699 3402047 Total XX 85983232 Calculate the value of the F test statistic and enter here:
A manufacturer of exercise equipment wanted to collect data on the effectiveness of their equipment. A magazine article compared how long it would take men and women to burn 200 calories during light or heavy workouts on various kinds of exercise equipment. The results summarized in the accompanying table are the average times for a group of physically active young men and women whose performances were measured on a representative sample of exercise equipment. Assume normality of the population. Complete parts (a) through (c) below. Click the icon to view the data table. C a) On average, how many minutes longer than a man must a woman exercise at a light exertion rate in order to burn 200 calories? Find a 95% confidence interval. minutes (Round to one decimal place as needed.) b) Estimate the average number of minutes longer a woman must work out at a light exertion than at heavy exertion to get the same benefit. Find a 95% confidence interval. (₁) minutes (Round to one decimal place…
The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
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 boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 lb, the boat was rated to carry 70 passengers (so the load limit was 9,450 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 135 lb to 175 lb. Complete parts a and b below. a. Assume that similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 181.9 Ib and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 135 Ib. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,275 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,275 Ib). The probability is. (Round to four decimal places as…
Define a. normally distributed variable.b. normally distributed population.c. parameters for a normal curve.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS