jason and yolanda both drew a simple random sample from a non - normally distributed population of 25,000…

jason and yolanda both drew a simple random sample from a non - normally distributed population of 25,000. jasons sample consisted of 0.24% of the population, while yolandas sample consisted of 0.32% of the population. whose sample can be used to make inferences about the population?\nneither jasons sample nor yolandas sample\nonly jasons sample\nonly yolandas sample\nboth jasons sample and yolandas sample

jason and yolanda both drew a simple random sample from a non - normally distributed population of 25,000. jasons sample consisted of 0.24% of the population, while yolandas sample consisted of 0.32% of the population. whose sample can be used to make inferences about the population?\nneither jasons sample nor yolandas sample\nonly jasons sample\nonly yolandas sample\nboth jasons sample and yolandas sample

Answer

Explanation:

Step1: Calculate Jason's sample size

$25000\times0.24%=25000\times\frac{0.24}{100}=60$

Step2: Calculate Yolanda's sample size

$25000\times0.32%=25000\times\frac{0.32}{100}=80$

Step3: Apply the Central - Limit Theorem

For non - normally distributed populations, if the sample size is large enough (usually $n\geq30$), the sampling distribution of the sample mean will be approximately normal. Both 60 and 80 are greater than 30.

Answer:

D. both Jason's sample and Yolanda's sample