Question

In: Statistics and Probability

A call centre would like to know the mean number of calls it receives during peak...

A call centre would like to know the mean number of calls it receives during peak hours. The manager randomly selects 32 different​ one-hour periods and determines the number of calls for each. For this​ sample, x-bar equals 95 and s2 ​= 230.

What is the mean number of calls per​ one-hour period during peak hours with a​ 99% confidence​ interval?

A. 95​ ± 2.68

B. 95​ ± 104.73

C. 95​ ± 6.90

D. 95​ ± 5.25

Solutions

Expert Solution


Related Solutions

A call centre manager in an insurance company is interested in knowing the pattern of calls...
A call centre manager in an insurance company is interested in knowing the pattern of calls for cancellation. The number of cancellation calls an agent receives per hour follows a Poisson distribution with a mean of 1.2. What is the probability that an agent receives more than two cancellation calls for the next three hours? a)0.3 b)0.823 c)0.7 d)0.177
A switching board receives a random number of phone calls. The expected number of calls is...
A switching board receives a random number of phone calls. The expected number of calls is 7.4 per minute. Assume that distribution of the number of calls is Poisson. The average number of calls per minute is recorded by counting the total number of calls received in one hour, divided by 60, the number of minutes in an hour. In the next 4 questions you are asked to apply the Normal approximation to the distribution of the sample average using...
The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during...
The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during holidays follows a normal distribution with a mean of 80,000 and a standard deviation of 35,000. Suppose 60 holiday hours are chosen at random. What is the sampling distribution for the 60 hours? What is the probability that for these 60 hours the number of incoming calls will be greater than 91,970? What is the probability that for these 60 hours the number of...
The AAA district manager for the northeastern states would like to predict the number of calls...
The AAA district manager for the northeastern states would like to predict the number of calls they will receive based on the daily low temperatures measured in degrees. The linear regression equation is: y-hat = 4.79 - 0.08x a. Draw a scatter plot using 10 datapoints. List your datapoints in a table. b. Find the correlation coefficient, r. c. What does r-square = .32 mean? d. Give and interpret the slope and y-intercept. e. What conclusions can be made about...
Tel-Skein is a call centre which fields all queries by customers of a national bank. Calls...
Tel-Skein is a call centre which fields all queries by customers of a national bank. Calls that are put through to operators who specialise in queries regarding ‘Lost or Stolen Debit Cards’ occur at random at a mean rate of 90 per hour. (i) What is the probability distribution, including its parameter(s), of the number of calls arriving in this part of the call centre during a two-minute interval? (There is no need to calculate any probabilities in this part...
A real estate agent would like to know if the number of bedrooms in a house...
A real estate agent would like to know if the number of bedrooms in a house can be used to predict the selling price of the house. More specifically, she wants to know whether a larger number of bedrooms leads to a higher selling price. Records for 25 houses that recently sold in the area were selected at random, and data on the number of bedrooms (x) and the selling price (y) (in $000s) for each house were used to...
[Understanding of hypothesis testing] The College of Engineering would like to know if the mean incoming...
[Understanding of hypothesis testing] The College of Engineering would like to know if the mean incoming freshman ACT (America College Test) score for 2018 is statistically different than the mean ACT score across the country. *State the null (H0) and alternative (H1) statistical hypotheses to address this question. *If the College wants to be 95% confident in any conclusion, what is the value of the significance criterion? *If the College expects a 90% likelihood of detecting a difference among means,...
An arborist would like to know if the mean growth (in inches) per year of flowering...
An arborist would like to know if the mean growth (in inches) per year of flowering pear trees is different than white fir trees. A random sample of 37 flowering pear trees is taken, where the age of each tree is recorded. A white fir tree of the same age is located for a total of 37 white fir trees. The growth in height over a 1-year period for each tree in the study is carefully recorded. Summary statistics are...
Suppose you would like to know the average daily number of car crashes that occur at...
Suppose you would like to know the average daily number of car crashes that occur at your hometown.  With that in mind, you take a sample of 15 days where you record the number of car crashes at your hometown on each of those days.  The data are displayed below: 12,  7,  17,  11,  9,  8,  19,  22,  12,  17,  15,  9,  12,  21, 15 a)  Please calculate the sample average. b)  Please calculate the standard error of the sample average.  (Please make sure to show your calculations.) c)  Your friend claims that the population average (mean) for the...
I would like to know the detailed solution process and the answer to question number 1...
I would like to know the detailed solution process and the answer to question number 1 a,b. Please explain it. 1. Samsung and Sony have to decide whether they will increase the spending on Research and Development (R&D) Department in order to improve the features of their products which are sold worldwide. If they both increase the spending, the gains of doing so are zero for both. If only one of them increases the R&D budget while the other doesn’t,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT