Question

In: Statistics and Probability

The time spent​ (in days) waiting for a heart transplant for people ages​ 35-49 can be...

The time spent​ (in days) waiting for a heart transplant for people ages​ 35-49 can be approximiated by the normal​ distribution, as shown in the figure to the right. ​(a) What waiting time represents the 55th ​percentile? ​(b) What waiting time represents the third​ quartile?

Mean= 203

Standard Deviation= 23.1

Round to the nearest integer as needed

Solutions

Expert Solution

Answer:

Given that:

The time spent​ (in days) waiting for a heart transplant for people ages​ 35-49 can be approximiated by the normal​ distribution

Let X be the waiting time

(a) What waiting time represents the 55th ​percentile?

Let be the percentile , is the value such that 55% values are less than

​​​​​​

b) What waiting time represents the third​ quartile?

Third quartile is percentile 75% value are less than


Related Solutions

The table below shows the time in minutes that customers    spent waiting in a bank....
The table below shows the time in minutes that customers    spent waiting in a bank. Time (min.) Frequency 5 7     6-10 8    11-15 9    16-20 4    21-25 6 Calculate the mean, mode and median       [4+4 + 4] (b) Calculate the variance.                                    [5] (c) Calculate the standard deviation.                  [2] (d) Calculate the coefficient of skewness           [3] (e) Calculate the coefficient of variation.
Suppose for a random sample of 49 CMU students, the mean amount of time spent eating...
Suppose for a random sample of 49 CMU students, the mean amount of time spent eating or drinking per day is 1.58 hours with a S.D. of 0.62 hours! What is the Margin of Error at a C.L. of 90%? What is the right boundary of the C.I. at a C.L. of 90%?
Suppose for a random sample of 49 CMU students, the mean amount of time spent eating...
Suppose for a random sample of 49 CMU students, the mean amount of time spent eating or drinking per day is 1.58 hours with a S.D. of 0.62 hours! a. What is the Standard Error of the estimate of the population mean? b. What is the Margin of Error at a C.L. of 90%? c. What is the right boundary of the C.I. at a C.L. of 90%? d. At a 98% C.L., if the researcher wants to limit the...
The average length of time customers spent on waiting at ABC Store’s check-out counter before a...
The average length of time customers spent on waiting at ABC Store’s check-out counter before a new P.O.S. system was installed was 4.3 minutes. A sample of 40 customers randomly selected at the check-out counter after the new P.O.S. system was installed showed that the average waiting time was 3.5 minutes with a sample standard deviation of 2.8 minutes. We wish to determine if the average waiting time after the P.O.S. system was installed is less than 4.3 minutes. 1.   State...
TJ, a 60-year-old man, underwent heart transplant surgery 2 days ago, and has been doing well in recovery.
TJ, a 60-year-old man, underwent heart transplant surgery 2 days ago, and has been doing well in recovery. So far, the surgery looks like it will be successful, however, the nurses are wary, and keep a vigilant eye on him.QuestionTJ has been feeling quite introspective recently, and he has been spending a lot of time thinking about what led to this surgery. It all seemed to happen very suddenly for him, and he is having trouble remembering the specific details,...
A sociologist claims that children ages 3​ - 12 spent more mean time watching television in...
A sociologist claims that children ages 3​ - 12 spent more mean time watching television in 1981 than children ages 3​ - 12 do today. A study was conducted in 1981 and a similar study was recently conducted. At   alphaα ​= 0.025, can you support the​ sociologist's claim? Sample 1 Sample 2 1981 Study 2.5 2.1 2.3 Recent Study 1.9 2.0 1.6 1.6 2.6 2.1 1.5 2.1 2.3 2.2 1.0 1.9 1.6 1.8 0.9 Calculate the Test Statistic and​ P-value....
The following data represents the ages at which people received their first colonoscopy. 30 35 43...
The following data represents the ages at which people received their first colonoscopy. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 Provide a well-written statistical write-up about this sample of patients, and should be no longer than 2 paragraphs. Your write-up should include at minimum: 1 measure of...
Evan Schwartz has six jobs waiting to be processed through his machine. Processing time (in days)...
Evan Schwartz has six jobs waiting to be processed through his machine. Processing time (in days) and due date information for each job are as follows: Job Processing Time Due Date A B C D E F 2 1 5 3 4 7 3 2 12 4 8 11 Sequence the jobs by FCFS, SPT, SLACK, and DDATE. Calculate the mean flow time and mean tardiness of the six jobs under each sequencing rule. Which rule would you recommend?
​As you can see in the following table, demand for heart transplant surgery at Washington General Hospital has increased steadily in the past few years
As you can see in the following table, demand for heart transplant surgery at Washington General Hospital has increased steadily in the past few years: Year12345Heart Transplants48.052.053.057.057.0The director of medical services predicted 6 years ago that demand in year 1 would be 44.0 surgeries.a) Using exponential smoothing with a of 0.60 and the given forecast for year 1, the forecasts for years 2 through 6 are (round your responses to one decimal place): Year123456Forecast44.046.449.851.754.956.2For the forecast made using exponential smoothing with a...
In the​ one-period model, education can be represented as time spent by the representative consumer that...
In the​ one-period model, education can be represented as time spent by the representative consumer that is neither leisure nor time applied to producing output. What the economy gains in the future is that the representative consumer then has more time​ available, as measured in terms of effective units of labour time​ (adjusted for skill​ level, or what economists call human​ capital). That​ is, the aggregate production function can be seen as Y=zF(K, eN)​, where e is the quantity of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT