A world-wide study conducted last year found that adult gamers (people who play a video game at least
once per week) spend an average of 410 minutes playing video games each week. A social science
researcher would like to determine if the average time adult gamers spend gaming each week has
changed since last year. The researcher devised a random sample of 18 adult gamers and asked each
how many minutes they spent gaming each week. The results are summarized below.
Using alpha =0.2, test the hypothesis that the average time spent gaming each week by all adult gamers is
different than it was last year. Assume that the distribution of all times spent gaming each week by
gamers 18 years and older is approximately normally distributed. Use the critical value method.
State the null and alternative hypothesis for this test.
H_(0) : ?
H_(1) : ?
Determine if this test is left-tailed, right-tailed, or two-tailed.
two-tailed
left-tailed
right-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
The Student's t distribution should be used
The standard normal (z) distribution should be used
Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If
more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to four decimal places.
Determine the appropriate conclusion for this hypothesis test.
The sample data provide sufficient evidence to reject the null hypothesis that the mean time
spent gaming per week by adult gamers is 410 minutes per week and thus we conclude that it is
likely the true average time spent gaming by adult gamers is different than 410 minutes per
week.
The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
mean time spent gaming by adult gamers is different than 410 minutes per week and thus we
conclude that the mean time spent gaming per week by adult gamers is likely different than 410
minutes.
The sample data do not provide sufficient evidence to reject the null hypothesis that the mean
A world-wide study conducted last year found that adult gamers (people who play a video game at least once per week) spend an average of 410 minutes playing video games each week. A social science researcher would like to determine if the average time adult gamers spend gaming each week has changed since last year. The researcher devised a random sample of 18 adult gamers and asked each how many minutes they spent gaming each week. The results are summarized below.
409
411
409 424 424 407
416 406 407 417 423 410 406 407 413 408 425 406
Using a = 0.2,test the hypothesis that the average time spent gaming each week by all adult gamers is different than it was last year. Assume that the distribution of all times spent gaming each week by gamers 18 years and older is approximately normally distributed. Use the critical value method.
State the null and alternative hypothesis for this test.
Ho:
H:
Determine if this test is left-tailed,right-tailed,or two-tailed.
Otwo-tailed
Oleft-tailed
Oright-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The Student's t distribution should be used
O The standard normal(z) distribution should be used
Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to four decimal places
Determine the appropriate conclusion for this hypothesis test.
O The sample data provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 410 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is different than 410 minutes per week.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean time spent gaming by adult gamers is different than 410 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely different than 410 minutes.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean