How many tissues should a package of tissues contain? Researchers have determine

Question

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 42 tissues during a cold. Suppose a random sample of 150 people yielded the following data on the number of tissues used during a cold: Identify the null and alternative hypothesis for a test to determine if the mean number of tissues used during a cold is different from 42.

a. lable the parameter:

b. state your hypotheses:

c. write the name of the test you will use:

d. Verify the required conditions for your proposed test:

e. identify the level of significance:

f. Find the rejection region:

g. calculate the test statisitic

H: FInd the P value:

I: Make your decision using the RR:

J: Make your decision using the P value:

K: State your conculsion:

Explanation / Answer

a.A statistic is a numerical characteristic of a sample that can be used as an estimate of the corresponding parameter, the numerical characteristic of the population from which the sample was drawn.

So here parameter is mean no.of tissues a pacakage contains

b. H0: mu=42 vs H1: mu not equal to 42

c. We will use standard normal test z

d. Here n =150 means sufficiant large so as per CLT sample mean will be normal with mean=xbar and sd=sd/sqrt(n)

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