Course home

3.1 The Normal Distribution

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

Question 7

The lifespan of a certain type of industrial LED, measured in hours, is assumed to follow a normal distribution with mean $μ\mu$ and variance $σ2\sigma^2$ . Based on data from a single random sample of these LEDs, a $99%99\%$ confidence interval for $μ\mu$ was calculated to be:

(11484.84, 12515.16)

Using the data from this same sample:

Determine a $95%95\%$ confidence interval for $μ\mu$ .

[4]

Eight independent random samples are subsequently collected, and a $95%95\%$ confidence interval for $μ\mu$ is constructed for each of these eight samples.

Calculate the probability that exactly 7 of these 8 intervals will contain the true population mean $μ\mu$ .

[3]

Markscheme

3.1 The Normal Distribution Questions

A Level
Maths
3.1 The Normal Distribution

79 exam-style questions on Edexcel A Level Maths 3.1 The Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

3.1 The Normal Distribution

Question bank

3.1 The Normal Distribution

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

Question 7

(11484.84, 12515.16)

Using the data from this same sample:

Determine a $95%95\%$ confidence interval for $μ\mu$ .

[4]

Eight independent random samples are subsequently collected, and a $95%95\%$ confidence interval for $μ\mu$ is constructed for each of these eight samples.

Calculate the probability that exactly 7 of these 8 intervals will contain the true population mean $μ\mu$ .

[3]

Markscheme

3.1 The Normal Distribution Questions

A Level
Maths
3.1 The Normal Distribution

79 exam-style questions on Edexcel A Level Maths 3.1 The Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.