Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

assume that all grade - point averages are to be standardized on a scal…

Question

assume that all grade - point averages are to be standardized on a scale between 0 and 5. how many grade - point averages must be obtained so that the sample mean is within 0.009 of the population mean? assume that a 95% confidence level is desired. if using the range rule of thumb, \\( \sigma \\) can be estimated as \\( \frac{\text{range}}{4}=\frac{5 - 0}{4}=1.25 \\). does the sample size seem practical?
the required sample size is 74104. (round up to the nearest whole number as needed.)
does the sample size seem practical?
a. yes, because the required sample size is a fairly large number.
b. yes, because the required sample size is a fairly small number.
c. no, because the required sample size is a fairly small number.
d. no, because the required sample size is a fairly large number.

Explanation:

Brief Explanations

A sample size of 74104 is extremely large. In practical research scenarios, collecting data from such a large number of individuals (grade - point averages in this case) would be very time - consuming, costly, and may face logistical challenges. For example, it would require a vast amount of resources to gather, store, and analyze data from such a large sample.

Answer:

D. No, because the required sample size is a fairly large number.