Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times a year with a population standard deviation of 2. To investigate this belief a random sample of 63 skiers was drawn and each participant was asked to report the number of times they skied last year. This yielded a mean of 4.84. Can we infer at the 10% significance level that the assumption of ski centers is wrong?
here we want to test the
null hypothesis H0: =4 and alternate hypothesis Ha: ( this is two tailed test)
since population standard deviation is known/given so we use z-test and z=(-)/(/)=(4.84-4)/(2/sqrt(63))=3.33
the two tailed critical z(0.1/2)=1.645 is less than calculated/observed z=3.334 so we reject H0 and conclude that average skier ski’s four times a year is not true and assumption of ski centers is wrong.
Many Alpine ski centers base their calculations of revenues and profits on the belief that the...
Many Alpine ski centers base their projections of revenues and profits on the assumption that the average Alpine skier skis four times per year. To investigate the validity of this assumption, a random sample of 63 skiers is drawn and each is asked to report the number of times he or she skied the previous year. The average number of times from those reported is 4.84. Suppose the population standard deviation is 2, can we infer at the 10% significance...
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