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2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)

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Question 13

The height of sunflower seedlings in a nursery is normally distributed with a mean of 15.5 cm and a standard deviation of 1.2 cm.

a.

Find the probability that a randomly selected seedling has a height of less than 13.0 cm.

[2]
b.

Write down the null and alternative hypotheses to test if the mean seedling height is lower than 15.5 cm.

[1]
c.

A sample of 25 seedlings is measured and the mean height is found to be 15.0 cm. Carry out a test at the 2.5% significance level to see if there is evidence that the mean height of the seedlings is less than 15.5 cm.

[3]

2.5.5 Hypothesis test for the mean of a normal distribution (A-level only) Questions

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  3. /2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)