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 415 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. 413 419 414 411 413 417 411 411 419 412 416 415 418 417 413 411 415 419 Using α=0.01α, 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. H0= H1= 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. =
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 415 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.
| 413 | 419 | 414 | 411 | 413 | 417 | 411 | 411 | 419 |
| 412 | 416 | 415 | 418 | 417 | 413 | 411 | 415 | 419 |
Using α=0.01α, 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
State the null and alternative hypothesis for this test.
H0=
H1=
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. =
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