MATH SOLVE

4 months ago

Q:
# Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How manygrade-point averages must be obtained so that the sample mean is within 0.006 of the population mean? Assume that a 99% confidence level is desired. If using the range rule ofthumb, σ can be estimated as Range/4=6-0/4 = 1.5. Does the sample size seempractical?

Accepted Solution

A:

Answer:416025 grade-point averages must be obtained so that the sample mean is within 0.006 of the population mean. But this size too big and is not practical. Step-by-step explanation:Minimum required grade-point averages can be found using the formulaN≥[tex](\frac{z*s}{ME} )^2[/tex] where N is the sample sizez is the corresponding z-score in 99% confidence level (2.58)s is the standard deviation (1.5)ME is the margin of error (0.006) Putting these numbers in the formula we getN≥[tex](\frac{2.58*1.5}{0.006} )^2[/tex] =416025