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4.3.2 Statistical hypothesis testing (A-level only)

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Question 1
28%

The weight of beans in a tin produced by company A normally distributed with a mean of 415 g and a standard deviation of 3.4 g.

a.

Find the probability that a randomly selected tin of beans has a weight of less than 409 g.

[2]
b.

Company A suspects that the mean weight of tins from a machine is lower than it should be.

Write down the company's null and alternative hypothesis.

[1]
c.

A sample of 20 tins is taken and the mean weight is found to be 413 g.

Carry out a test at the 1% significance level to see if there is evidence that the machine is producing tins with a mean of less than 415 g.

[3]

4.3.2 Statistical hypothesis testing (A-level only) Questions

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  3. /4.3.2 Statistical hypothesis testing (A-level only)