Question

In: Statistics and Probability

An administrator wanted to study the utilization of long-distance telephone service by a department. One variable...

An administrator wanted to study the utilization of long-distance telephone service by a department. One variable of interest (let’s call it X) is the length, in minutes, of long-distance calls made during one month. There were 38 calls that resulted in a connection. The length of calls, already ordered from smallest to largest, are presented in the following table. 1.6 1.7 1.8 1.8 1.8 2.1 2.5 3.0 3.0 4.4 4.5 4.5 5.9 7.1 7.4 7.5 7.7 8.6 9.3 9.5 12.7 15.3 15.5 15.9 15.9 16.1 16.5 17.3 17.5 19.0 19.4 22.5 23.5 24.0 31.7 32.8 43.5 53.3

Which one of the following statements is not true?

A)The 10th percentile (or the first Decile) is 1.8 minutes.

B)The 20th percentile is (or the first Quintile) 3.0 minutes.

C)The 25th percentile (or the first Quartile) is 4.4 minutes.

D)The mode of X distribution is 1.8. E)Average X < Median X.

Solutions

Expert Solution


Related Solutions

An administrator wanted to study the utilization of long-distance telephone service by a department. One variable...
An administrator wanted to study the utilization of long-distance telephone service by a department. One variable of interest (let’s call it X) is the length, in minutes, of long-distance calls made during one month. There were 38 calls that resulted in a connection. The length of calls, already ordered from smallest to largest, are presented in the following table. 1.6 1.7 1.8 1.8 1.9 2.1 2.5 3.0 3.0 4.4 4.5 4.5 5.9 7.1 7.4 7.5 7.7 8.6 9.3 9.5 12.7...
The TIV Telephone Company provides long-distance telephone service in an area. According to the company’s records,...
The TIV Telephone Company provides long-distance telephone service in an area. According to the company’s records, the average length of all long-distance phone calls placed through this company in 2015 was 12.44 minutes. The company’s management wants to check if the mean length of the current long- distance calls is different from 12.44 minutes. A sample of 150 such calls placed through the company produced a mean length of 13.71 minutes. The standard deviation of all such calls is 2.65...
Long-Distance Calls A long-distance provider charges the following rates for telephone calls: Rate Category Daytime (6:00...
Long-Distance Calls A long-distance provider charges the following rates for telephone calls: Rate Category Daytime (6:00 A.M. through 5:59 P.M.) Evening (6:00 P.M. through 11:59 P.M.) Off-Peak (12:00 A.M. through 5:59 A.M.) Rate per Minute $0.07 $0.12 $0.05 Create a C++ program that allows the user to select a rate category and enter the number of minutes of the call, then displays the charges. Use the following test data to determine if the application is calculating properly: Rate Category and...
Long distance telephone calls are normally distributed with a mean of 8 minutes and a      standard...
Long distance telephone calls are normally distributed with a mean of 8 minutes and a      standard deviation of 2 minutes.          If random samples of 25 calls were selected, what is the probability that telephone calls would be between 7.83 and 8.2 minutes? If random samples of 25 calls were selected, what is the probability that telephone calls would be at most 8.2 minutes?       c.   If random samples 100 calls were selected, what is the probability that       telephone calls would be between...
One wants to study the daily mean travel distance of a delivery service. In trial runs...
One wants to study the daily mean travel distance of a delivery service. In trial runs of 18 randomly chosen delivery trucks, the mean and the standard deviation are found to be 310 km and 70km, respectively. Assume that the daily travel distance is normally distributed. At the 0.1 level of significance, test the claim that the daily mean travel distance is different from 350 km. What is the CONCLUSION? Select one: a. there is not enough assumptions to do...
A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length...
A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally​ distributed, with a mean of 280280 seconds and a standard deviation of 3030 seconds. Complete parts​ (a) through​ (d). a. What is the probability that a call lasted less than 230230 ​seconds?The probability that a call lasted less than 230230 seconds is . 0478.0478 . ​(Round to four decimal places as​ needed.) b. What is the probability that a...
A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length...
A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally​ distributed, with a mean of 240 seconds and a standard deviation of 30 seconds. Complete parts​ (a) through​ (d). a. What is the probability that a call lasted less than 180 ​seconds? The probability that a call lasted less than 180 seconds is nothing. ​(Round to four decimal places as​ needed.) b. What is the probability that a call...
Suppose that a long distance taxi service owns 4 vehicles. These are of different ages and...
Suppose that a long distance taxi service owns 4 vehicles. These are of different ages and have different repair records. The probabilities that, on a given day, each vehicle will be available for use are: 0.90, 0.90, 0.80, 0.70. Whether one vehicle is available is independent of whether any other vehicle is available. a. Find the probability distribution for the number of vehicles available for use on a given day. b. Find the expected number of vehicles available for use...
2a). The customer service department of H&R Block received a total of 235 telephone requests for...
2a). The customer service department of H&R Block received a total of 235 telephone requests for a tip-sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. Topic of most interest to caller How the caller first heard about the report Radio Newspaper Television Internet Personal tax 34 20 26 20 Corporate tax 36 70 14 15 What is the probability a caller is interested in...
The Springfield Emergency Medical Service keeps records of emergency telephone calls. A study of 150 five-minute...
The Springfield Emergency Medical Service keeps records of emergency telephone calls. A study of 150 five-minute time intervals resulted in the distribution of number of calls as follows. For example, during 18 of the 5-minute intervals, no calls occurred. Use the chi-square goodness-of-fit test and α = .01 to determine whether this distribution is Poisson. Number of Calls (per 5-minute interval) Frequency 0 18 1 28 2 47 3 21 4 16 5 11 6 or more 9
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT