Question

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 40 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: Using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.

Answer 1

Ho : ,  A package of tissues should contain tissues equal to 40.

Ha :   , A package of tissues should contain tissues not equal to 40.

we have collected data for n = 10000 random sample for which we can easily calculate:

sample mean ( ) =  

and sample standard deviation(s) =

test statistic -

which Follows normal(0,1) .ie standard normal distibution.

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