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3.7 Hypothesis Testing with the Normal Distribution

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Question 32

A pharmaceutical company produces tablets. The mass, $X\,$ mg, of the tablets follows a normal distribution $N(μ,32)N(\mu, 3^2)$ . To monitor the production process, a random sample of $n\,$ tablets is selected and tested at the 5% level of significance using the following hypotheses:

H_0 : \mu = 250 \quad \text{and} \quad H_1 : \mu > 250

Find, in terms of $n$ , the critical region of the test.

[3]

The probability of a Type II error, when the true mean is $μ=252\mu = 252$ , is less than 0.10.

Find the minimum value of $n$ .

[5]

Markscheme

3.7 Hypothesis Testing with the Normal Distribution Questions

A Level
Maths
3.7 Hypothesis Testing with the Normal Distribution

132 exam-style questions on Edexcel A Level Maths 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

3.7 Hypothesis Testing with the Normal Distribution

Question bank

3.7 Hypothesis Testing with the Normal Distribution

Medium Hard

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Question 32

H_0 : \mu = 250 \quad \text{and} \quad H_1 : \mu > 250

Find, in terms of $n$ , the critical region of the test.

[3]

The probability of a Type II error, when the true mean is $μ=252\mu = 252$ , is less than 0.10.

Find the minimum value of $n$ .

[5]

Markscheme

3.7 Hypothesis Testing with the Normal Distribution Questions

A Level
Maths
3.7 Hypothesis Testing with the Normal Distribution

132 exam-style questions on Edexcel A Level Maths 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.