OCR MEI
Further Statistics Major
2022
June
— Question 6
Exam Board
OCR MEI
Module
Further Statistics Major (Further Statistics Major)
Year
2022
Session
June
Topic
Central limit theorem
Determine a 95\% confidence interval for the mean weight of liquid paraffin in a tub.
Explain whether the confidence interval supports the researcher's belief.
Explain why the sample has to be random in order to construct the confidence interval. [0pt]
A 95\% confidence interval for the mean weight in grams of another ingredient in the skin cream is [1.202, 1.398]. This confidence interval is based on a large sample and the unbiased estimate of the population variance calculated from the sample is 0.25 .
Find each of the following.