The lifespan of high-performance LED modules is normally distributed with an unknown mean, $μ\mu$ hours, and a known standard deviation, $σ\sigma$ hours. A random sample of 150 modules yields a 98% confidence interval for $μ\mu$ of

(2491.56, 2508.44)

Using the confidence interval provided, test whether or not $μ=2500\mu = 2500$ . State your hypotheses clearly and the significance level used.

A second random sample of 200 modules had a mean lifespan of 2505 hours.

Calculate a 99% confidence interval for $μ\mu$ based on this second sample. You must show all steps in your working.

Using eight different random samples of 200 modules, eight 99% confidence intervals for $μ\mu$ are to be found.

Calculate the probability that at least 7 of these intervals will contain $μ\mu$ .

(2491.56, 2508.44)

Using the confidence interval provided, test whether or not $μ=2500\mu = 2500$ . State your hypotheses clearly and the significance level used.

A second random sample of 200 modules had a mean lifespan of 2505 hours.

Calculate a 99% confidence interval for $μ\mu$ based on this second sample. You must show all steps in your working.

Using eight different random samples of 200 modules, eight 99% confidence intervals for $μ\mu$ are to be found.

Calculate the probability that at least 7 of these intervals will contain $μ\mu$ .

3.7 Hypothesis Testing with the Normal Distribution

Question 39

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 39

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 39

3.7 Hypothesis Testing with the Normal Distribution Questions

3.7 Hypothesis Testing with the Normal Distribution

Question 39

3.7 Hypothesis Testing with the Normal Distribution Questions