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.

2.5.8 Hypothesis test for a single mean (A-level only)

Question 49

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only)

Question 49

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only)

Question 49

2.5.8 Hypothesis test for a single mean (A-level only) Questions

2.5.8 Hypothesis test for a single mean (A-level only)

Question 49

2.5.8 Hypothesis test for a single mean (A-level only) Questions