A precision automated nozzle dispenses a volume $V$ ml of a chemical reagent, where $V$ is modeled as a continuous random variable uniformly distributed on the interval $[k - 1.5, k + 4.5]$ , where $k$ is a calibration constant.

A quality control audit takes a random sample of 80 dispensations, yielding a sample mean volume of $vˉ=42.6\bar{v} = 42.6$ ml.

Use the Central Limit Theorem to determine an approximate distribution for the sample mean volume $Vˉ\bar{V}$ .

Hence, find a 98% confidence interval for $k$ . Give the limits of your interval to 3 significant figures.

A quality control audit takes a random sample of 80 dispensations, yielding a sample mean volume of $vˉ=42.6\bar{v} = 42.6$ ml.

Use the Central Limit Theorem to determine an approximate distribution for the sample mean volume $Vˉ\bar{V}$ .

Hence, find a 98% confidence interval for $k$ . Give the limits of your interval to 3 significant figures.

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

Question 55

Markscheme

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

Question 55

Markscheme

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

Question 55

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 55

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