Managers of a local shopping mall selected a random sample of shoppers and recorded the gender of each. Here are their results.
Gender Number of People
Male
69
Female
106
Based on this sample, how many of the next
2000
shoppers would we predict to be female? Round your answer to the nearest whole number. Do not round any intermediate calculations.
106/(69+106) * 2000 = ?
a sampling of 64 students appearing in an examination yield the error as 5 with standard deviation of 4.find the risk
To predict the number of female shoppers among the next 2000 shoppers, we can use the proportion of female shoppers in the observed sample.
First, we need to calculate the proportion of female shoppers in the sample:
Proportion of Female shoppers = Number of Female shoppers / Total number of shoppers in the sample
In this case, the number of female shoppers is 106, and the total number of shoppers in the sample is the sum of male and female shoppers, which is 69 + 106 = 175.
Proportion of Female shoppers = 106 / 175 ≈ 0.6057
Now, we can use this proportion to predict the number of female shoppers among the next 2000 shoppers:
Number of predicted female shoppers = Proportion of Female shoppers × Total number of shoppers among the next 2000
Number of predicted female shoppers = 0.6057 × 2000 ≈ 1211.4
Rounding this to the nearest whole number, we predict that approximately 1211 female shoppers would be among the next 2000 shoppers.