Answer :
All conditions for statistical inference are met(d) when Erica selects a random sample of 100 orders; the randomness, 10% condition, and the large counts condition are all satisfied.
The situation described involves determining whether the distribution of orders filled by the friends meets the conditions for statistical inference. In such cases, we usually check for several key conditions: randomness, 10% condition, and the large counts condition.
Regarding randomness, if Erica used a truly random process to select the 100 orders, then the random condition is indeed met. It is important for inference that every order had an equal chance to be selected.
As for the 10% condition, it requires that the sample size should be less than 10% of the population. Here, assuming that the company filled way more than 1000 orders, this condition is also satisfied because 100 is less than 10% of any number greater than 1000.
The large counts condition necessitates that the expected number of successes and failures in the sample is at least 10. For each friend's percentage, the expected numbers would be 70 orders for Erica, and 10 orders each for Jen, Heather, and Tonya, meeting this criterion.
Therefore, the correct answer is d) yes, all of the conditions for inference are met.
