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4.5 Statistical distributions (A-level only)

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Question 35

A company advertised phone batteries with a mean standby time of 235 hours.

A phone shop manager feels that the batteries have a standby time of less than 235 hours.

The manager conducts an experiment and collects the following summary statistics:

n=200∑x=46313∑x2=10861255 n = 200 \quad \sum x = 46313 \quad \sum x^2 = 10861255 n=200∑x=46313∑x2=10861255
a.

Find the mean and standard deviation of the sample.

[3]
b.

Carry out a hypothesis test to test the manager's claim at the 1% significance level. State your assumptions clearly.

[5]

4.5 Statistical distributions (A-level only) Questions

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