(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 60 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 H;= and o: = (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 60 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.) (d) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.00 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 2.00 hours or less from a population whose mean is presumed to be 2.35 hours. The likelihood is (Round to four decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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**Television Viewing and Advertising Pricing**

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).

---

This text highlights the importance of tracking television viewing habits among adults. The data gathered from this monitoring process is crucial for businesses to effectively set rates for advertising slots on TV. Understanding audience engagement helps companies maximize their marketing strategies by aligning commercial costs with viewer demographics.
Transcribed Image Text:**Television Viewing and Advertising Pricing** 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). --- This text highlights the importance of tracking television viewing habits among adults. The data gathered from this monitoring process is crucial for businesses to effectively set rates for advertising slots on TV. Understanding audience engagement helps companies maximize their marketing strategies by aligning commercial costs with viewer demographics.
**Educational Website Text:**

(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 60 adults is obtained, describe the sampling distribution of \( \bar{x} \), the mean amount of time spent watching television on a weekday.

\( \bar{x} \) is approximately normal with \( \mu_{\bar{x}} = \)  and \( \sigma_{\bar{x}} = \) 
(Round to six decimal places as needed.)

(c) Determine the probability that a random sample of 60 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.)

(d) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.00 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 2.00 hours or less from a population whose mean is presumed to be 2.35 hours.

The likelihood is ______. (Round to four decimal places as needed.)
Transcribed Image Text:**Educational Website Text:** (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 60 adults is obtained, describe the sampling distribution of \( \bar{x} \), the mean amount of time spent watching television on a weekday. \( \bar{x} \) is approximately normal with \( \mu_{\bar{x}} = \) and \( \sigma_{\bar{x}} = \) (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 60 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.) (d) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.00 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 2.00 hours or less from a population whose mean is presumed to be 2.35 hours. The likelihood is ______. (Round to four decimal places as needed.)
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