Question

In: Statistics and Probability

According to a newspaper article, teens watch on average 315 minutes of television a week. A...

According to a newspaper article, teens watch on average 315 minutes of television a week. A concerned parent collected a random sample of 12 individual teens to test the claim. The sample average for the number of minutes was 337. The sample standard deviation was 55 minutes. With alpha = 0.1, is there enough evidence to reject the article's claim?


a) Is this a test that uses, z-scores, t-scores, or chi-squared values?


b) Does this problem involve proportions?


c) What is(are) the critical value(s) for the problem?


d) What is the test value and which formula did you use? The formulas are numbered.


e) Should the researcher reject the claim?

Solutions

Expert Solution

a) This test uses t-scores as we are testing population mean and instead of population standard deviation, sample standard deviation is given.

b) No, this involves only population mean.

Conclusion in problem context :

There is not sufficient evidence to reject the researcher's claim that teens watch on average 315 minutes of television a week.


Related Solutions

Why is it advisable to relax, read a book or newspaper, or watch television after a...
Why is it advisable to relax, read a book or newspaper, or watch television after a meal? Respond in terms of the effects of the autonomic nervous system on digestion.
According to a newspaper column in 2007, “The Bank of England published minutes showing that only...
According to a newspaper column in 2007, “The Bank of England published minutes showing that only the narrowest possible margin, 5-4, voted down an interest rate increase last month. Nobody foresaw this. The news took sterling [British pound] back above $1.99, and to a 15 year high against the yen.” What could explain the appreciation of the pound when interest rates did not change? Use a diagram of the FX market in your answer.
Spend 10-20 minutes looking on the web for a newspaper article that relates in some way...
Spend 10-20 minutes looking on the web for a newspaper article that relates in some way to white-collar or corporate crime. For example, you can select an article that discusses a specific crime problem involving patterns in white-collar or corporate crimes (e.g., think pieces that explore the dynamics of financial crimes like money laundering, insider trading or stock frauds). Alternatively, you can also look at articles that focus on one person who has engaged in white-collar crime (e.g., Michael Cohen)....
. In order to determine how many hours per week freshmen college students watch television, a...
. In order to determine how many hours per week freshmen college students watch television, a random sample of 25 students was selected. It was determined that the students in the sample spent an average of 19.5 hours with a sample standard deviation of 4.2 hours watching TV per week. Please answer the following questions: (a) Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week. (b) Assume that...
According to a report published on a local newspaper in Hong Kong, the average age of...
According to a report published on a local newspaper in Hong Kong, the average age of viewers of live television programs broadcast on TVB is 51 years old. Suppose a rival network (e.g. ViuTV) executive hypothesizes that the average age of ViuTV viewers is less than 51. To test her hypothesis, she sampled 200 ViuTV viewers and found that their mean age was 50 with a standard deviation of 11. a. What is the population in this study? b. What...
Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis...
Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu > 2.1 are tested. Assuming the commercial time is normally distributed, give the appropriate rejection region when there is a random sample of size 20 from the population and we would like to test at the level of significance 0.01. Let T be the appropriate test statistic. Group of answer choices T > 2.539 T > 2.845...
Customers arrive at a cafe every 2 minutes on average according to a Poisson process. There...
Customers arrive at a cafe every 2 minutes on average according to a Poisson process. There are 2 employees working at the bar providing customer service, i.e., one handling customer orders and another handling payments. It takes an average of 1 minute to complete each order (exponentially distributed). Based on the above: f. What are the service time probability density and cumulative distribution functions? g. What percentage of customer orders will be prepared in exactly 2 minutes? h. What are...
According to a marketing​ website, adults in a certain country average 5454 minutes per day on...
According to a marketing​ website, adults in a certain country average 5454 minutes per day on mobile devices this year. Assume that minutes per day on mobile devices follow the normal distribution and has a standard deviation of 1212 minutes. Complete parts a through d below. A. What is the probability that the amount of time spent today on mobile devices by an adult is less than 63 ​minutes? (Round to four decimal places as​ needed.) B. What is the...
According to a marketing website, adults in a certain country average 61 minutes per day on...
According to a marketing website, adults in a certain country average 61 minutes per day on mobile devices this year. Assume that minutes per day on mobile devices follow the normal distribution and has a standard deviation of 11 minutes. Complete parts a through d below. a. What is the probability that the amount of time spent today on mobile devices by an adult is less than 70 minutes? (Round to four decimal places as needed.) b. What is the...
According to an article by George Will (San Jose Mercury News, Feb. 28, 2002), the average...
According to an article by George Will (San Jose Mercury News, Feb. 28, 2002), the average U.S. consumption per person per year of French Fries is 28 pounds. Suppose that you believe that the average in Santa Clara County is not 28 pounds. You randomly survey 50 people in this county. The sample average is 24 pounds with a sample standard deviation of 10 pounds. Conduct an appropriate hypothesis test. 1. This test is: A. two-tailed B. no-tailed C. right-tailed...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT