Question

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 403 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 20 adult gamers and asked each how many minutes they spent gaming each week. The results are summarized below. 399 407 402 400 405 405 406 399 404 401 403 399 405 406 403 407 399 399 401 404 Using a significance level of 10%, 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. Determine if this test is left-tailed, right-tailed, or two-tailed. O right-tailed O two-tailed O left-tailed Should the standard normal () distribution or Student's () distribution be used for this test? O The standard normal () distribution should be used O The Student's 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 alternative hypothesis that the mean time spent gaming by adult gamers is different than 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely 403 minutes. O The sample data provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is different than 403 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 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely different than 403 minutes. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is 403 minutes per week.

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 403 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 20 adult gamers and asked each how many minutes they spent gaming each week. The results are summarized below.

399 407 402 400 405 405 406 399 404 401
403 399 405 406 403 407 399 399 401 404

Using a significance level of 10%, 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.

Determine if this test is left-tailed, right-tailed, or two-tailed.
O right-tailed
O two-tailed
O left-tailed

Should the standard normal () distribution or Student's () distribution be used for this test?
O The standard normal () distribution should be used
O The Student's 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 alternative hypothesis that the mean time spent gaming by adult gamers is different than 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely 403 minutes.
O The sample data provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is different than 403 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 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely different than 403 minutes.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is 403 minutes per week.

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 403 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 20 adult gamers and asked each how many minutes they spent gaming each week. The results are summarized below.

399 407 402 400 405 405 406 399 404 401
403 399 405 406 403 407 399 399 401 404

Using a significance level of 10%, 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.

Determine if this test is left-tailed, right-tailed, or two-tailed.
O right-tailed
O two-tailed
O left-tailed

Should the standard normal () distribution or Student's () distribution be used for this test?
O The standard normal () distribution should be used
O The Student's 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 alternative hypothesis that the mean time spent gaming by adult gamers is different than 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely 403 minutes.
O The sample data provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is different than 403 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 403 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely different than 403 minutes.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 403 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is 403 minutes per week.

Added by Juan Antonio G.

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