A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while visiting a theme park. She knows that the population standard deviation is $12. How large a sample should the researcher select so that the estimate will be within $4 of the population mean?

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

represent the sample mean for the sample  

population mean (variable of interest)

represent the population standard deviation

n represent the sample size  

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

   (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

  (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got , replacing into formula (b) we got:

So then the minimum sample to ensure the condition given is n= 38

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

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