The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). (a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have? O A. The variable "weekly time spent watching television" is likely uniform, not normally distributed. YB. The variable "weekly time spent watching television" is likely skewed right, not normally distributed. O C. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed. O D. The variable "weekly time spent watching television" is likely normally distributed. O E. The variable "weekly time spent watching television" is likely skewed left, not normally distributed. (b) According to a certain survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours. If a random sample of 50 adults is obtained, describe the sampling distribution of x, the mean amount of time spent watching television on a weekday. x is approximately normal with µ; = 2.35 and o; = 0.272943. (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 50 adults results in a mean time watching television on a weekday of between 2 and 3 hours. The probability is | (Round to four decimal places as needed.)
The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). (a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have? O A. The variable "weekly time spent watching television" is likely uniform, not normally distributed. YB. The variable "weekly time spent watching television" is likely skewed right, not normally distributed. O C. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed. O D. The variable "weekly time spent watching television" is likely normally distributed. O E. The variable "weekly time spent watching television" is likely skewed left, not normally distributed. (b) According to a certain survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours. If a random sample of 50 adults is obtained, describe the sampling distribution of x, the mean amount of time spent watching television on a weekday. x is approximately normal with µ; = 2.35 and o; = 0.272943. (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 50 adults results in a mean time watching television on a weekday of between 2 and 3 hours. The probability is | (Round to four decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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Transcribed Image Text:The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts
(a) through (d).
(a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have?
O A. The variable "weekly time spent watching television" is likely uniform, not normally distributed.
OB. The variable "weekly time spent watching television" is likely skewed right, not normally distributed.
O C. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed.
O D. The variable "weekly time spent watching television" is likely normally distributed.
O E. The variable "weekly time spent watching television" is likely skewed left, not normally distributed.
(b) According to a certain survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for "time spent watching
television on a weekday" is 1.93 hours. If a random sample of 50 adults is obtained, describe the sampling distribution of x, the mean amount of time spent watching
television on a weekday.
x is approximately normal
with µ; = 2.35 and o; = 0.272943.
(Round to six decimal places as needed.)
(c) Determine the probability that a random sample of 50 adults results in a mean time watching television on a weekday of between 2 and 3 hours.
The probability is | (Round to four decimal places as needed.)
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