The nature of the variable “weekly time spent watching television.”

Question

Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution. Required: a. What are the values for a and b in minutes? Note: Do not round your intermediate calculations. Round your answers to 1 decimal place. b-1. What is the mean time to resolve the problem? b-2. What is the standard deviation of the time? c. What percent of the problems take more than 5 minutes to resolve? d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times?

Answer 1

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.1, Problem 29AYU

(a)

To determine

To explain: The nature of the variable “weekly time spent watching television.”

(b)

To determine

Average and standard deviation of x¯.

(c)

To determine

The probability of 40 adults resulting in an average time between 2 and 3 hours of watching TV on a weekday.

(d)

To determine

The probability that the simple random sample of 35 adult Americans results in an average time watching TV of less than or equal to 1.89 hours.

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Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution. Required: a. What are the values for a and b in minutes? Note: Do not round your intermediate calculations. Round your answers to 1 decimal place. b-1. What is the mean time to resolve the problem? b-2. What is the standard deviation of the time? c. What percent of the problems take more than 5 minutes to resolve? d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times?

Exercise 6-6 (Algo) (LO6-3) The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 0.5 1,400 0.4 1,300 0.1 Click here for the Excel Data File Required: What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. Note: Round your standard deviation to 2 decimal places.

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Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.1, Problem 29AYU

(a)

To determine

To explain: The nature of the variable “weekly time spent watching television.”

(b)

To determine

Average and standard deviation of x¯.

(c)

To determine

The probability of 40 adults resulting in an average time between 2 and 3 hours of watching TV on a weekday.

(d)

To determine

The probability that the simple random sample of 35 adult Americans results in an average time watching TV of less than or equal to 1.89 hours.

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.1, Problem 29AYU

(a)

To determine

To explain: The nature of the variable “weekly time spent watching television.”

(b)

To determine

Average and standard deviation of x¯.

(c)

To determine

The probability of 40 adults resulting in an average time between 2 and 3 hours of watching TV on a weekday.

(d)

To determine

The probability that the simple random sample of 35 adult Americans results in an average time watching TV of less than or equal to 1.89 hours.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.1, Problem 29AYU

(a)

To determine