2.5.3 Hypothesis test for a Normal mean (A-level only)

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Question 65

The net weight of industrial chemical canisters, $W$ kg, follows a normal distribution with an unknown mean $μ\mu$ and a known standard deviation $σ\sigma$ . A logistical analysis of a random sample of 100 canisters resulted in a 95% confidence interval for $μ\mu$ of $(74.14, 75.46)$ .

Without performing any additional calculations, utilize this confidence interval to test the claim that $μ=75.6\mu = 75.6$ . State the null and alternative hypotheses clearly and specify the significance level used for the test.

[3]

A separate random sample of 144 canisters was found to have a mean weight of $74.85$ kg.

Determine a 98% confidence interval for $μ\mu$ based on this second sample.

[6]

2.5.3 Hypothesis test for a Normal mean (A-level only) Questions

A Level
Maths
2.5.3 Hypothesis test for a Normal mean (A-level only)

A Level
Maths AQA
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