. On a certain hearing ability test, the mean is 300 and the standard deviation is 20. The better you can hear, the higher your score. Can people who clean their ears frequently hear better than others? You take a sample of 31 people who clean their ears frequently. Their sample mean test score is 308. Do a hypothesis test with α = 0.01. H 0 : People who clean their ears regularly hear at the same level that everyone else does: µ = 300. H 1 : People who clean their ears regularly hear better than others: µ > 300. a. Check to see if the null hypothesis sampling distribution is normal. Keep in mind whether you are dealing with means or proportions. b. Draw the null hypothesis sampling distribution (a normal curve). Label its center. c. Calculate your test statistic and draw it on your null hypothesis curve. This is just your sample statistic ( or ) converted to a Z-score on your null hypothesis sampling distribution. Make sure you are using the appropriate SE formula! Use for proportions and for means.
1. On a certain hearing ability test, the mean is 300 and the standard deviation is 20. The
better you can hear, the higher your score. Can people who clean their ears frequently
hear better than others? You take a sample of 31 people who clean their ears
frequently. Their sample mean test score is 308. Do a hypothesis test with α = 0.01.
H 0 : People who clean their ears regularly hear at the same level that everyone else
does: µ = 300.
H 1 : People who clean their ears regularly hear better than others: µ > 300.
a. Check to see if the null hypothesis sampling distribution is normal. Keep in mind
whether you are dealing with means or proportions.
b. Draw the null hypothesis sampling distribution (a normal curve). Label its center.
c. Calculate your test statistic and draw it on your null hypothesis curve. This is just
your sample statistic ( or ) converted to a Z-score on your null hypothesis sampling
distribution. Make sure you are using the appropriate SE formula! Use for
proportions and for means.
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