A world wide study conducted last year found that adult
Last updated: 4/26/2023
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 442 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 H 440 434 Using a significance level of 20 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 428 439 442 443 436 437 431 434 437 446 429 434 427 439 435 445 435 431 Determine if this test is left tailed right tailed or two tailed right tailed left tailed two tailed Should the standard normal z distribution or Student s t distribution be used for this test The Student st distribution should be used The standard normal 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 do not provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 442 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is 442 minutes per week minutes per The sample data provide sufficient evidence to reject the null hypothesis that the mean time spent gaming per week by adult gamers is 442 minutes per week and thus we conclude that it is likely the true average time spent gaming by adult gamers is different than 442 minutes per week The sample data provide sufficient evidence to reject the alternative hypothesis that the mean time spent gaming by adult gamers is different than 442 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely 442 minutes 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 442 minutes per week and thus we conclude that the mean time spent gaming per week by adult gamers is likely different