if we want to estimate the population mean time for previews at movie theaters with a margin of error of 75 seconds, what sample size should be used? assume 95% confidence.

Respuesta :

sample size should be 40.

¬ = 4 minutes

The margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance  for 95% level of significance

For a 95% confidence interval [tex]z[/tex][tex]\frac{a}{2}[/tex] [tex]= 1.96[/tex]  from the standard deviation table

The sample size required, n

[tex]n=[/tex][tex]\frac{(z\frac{a}{2}.¬)}{E}[/tex] = [tex](\frac{1.96.4}{75/60} )^{2}[/tex]=39.227984

Rounding off, n=40

Sample size =40

mean is the ratio of the sum of all of the observations and the whole range of observations in a record set. They imply (aka the arithmetic suggests, special from the geometric imply) of a dataset is the sum of all values divided by way of the full number of values. it is the most commonly used degree of significant tendency and is often referred to as the “average.”

The implication is the commonality of the numbers. It is easy to calculate: upload all of the numbers, then divide by using how many numbers there are. In different phrases, it is the sum divided by way of the rely.

The implied (common) of an information set is located by means of including all numbers inside the information set and then dividing with the aid of the wide variety of values within the set. The median is the middle value while a record set is ordered from least to finest. The mean is the common wherein the sum of all the numbers is split by the overall quantity of numbers, while the median is the center value in the list of given numbers numerically ordered from smallest to biggest and mode is the value of the quantity which happens most often in the list.

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