The yield of a synthetic polymer $S$ , measured in milligrams, is modeled by a continuous uniform distribution on the interval $[c - 10, c + 20]$ , where $c\,$ is a controlled reaction constant. A large random sample of $n\,$ yields is taken during a production run.

Use the Central Limit Theorem to determine an approximate distribution for the sample mean $Sˉ\bar{S}$ . Give the parameters of the distribution in terms of $n\,$ and $c\,$ where appropriate.

The sample mean of the $n\,$ observations is recorded as 152.4. Given that the upper bound of a 95% confidence interval for the constant $c$ , based on this sample, is 147.89,

calculate the value of $n$ . Show your working clearly.

Use the Central Limit Theorem to determine an approximate distribution for the sample mean $Sˉ\bar{S}$ . Give the parameters of the distribution in terms of $n\,$ and $c\,$ where appropriate.

The sample mean of the $n\,$ observations is recorded as 152.4. Given that the upper bound of a 95% confidence interval for the constant $c$ , based on this sample, is 147.89,

calculate the value of $n$ . Show your working clearly.

3.7 Hypothesis Testing with the Normal Distribution

Question 49

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 49

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 49

3.7 Hypothesis Testing with the Normal Distribution Questions

3.7 Hypothesis Testing with the Normal Distribution

Question 49

3.7 Hypothesis Testing with the Normal Distribution Questions