Course home

2.5.8 Hypothesis test for a single mean (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

Question 10

The lifetime of a certain type of battery is normally distributed with a mean of 48 hours and a standard deviation of 4.5 hours.

Find the probability of a battery lasting longer than 55 hours.

[2]

Write down a null and alternative hypothesis for a two-tailed test.

[1]

A technician takes a sample of 20 batteries and finds a mean lifetime of 51 hours. Test at the 2% significance level whether there is evidence that the mean lifetime has changed.

[3]

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only) Questions

A Level
Maths
2.5.8 Hypothesis test for a single mean (A-level only)

132 exam-style questions on OCR (MEI) A Level Maths 2.5.8 Hypothesis test for a single mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

2.5.8 Hypothesis test for a single mean (A-level only)

Question bank

2.5.8 Hypothesis test for a single mean (A-level only)

Medium Hard

Question 10

The lifetime of a certain type of battery is normally distributed with a mean of 48 hours and a standard deviation of 4.5 hours.

Find the probability of a battery lasting longer than 55 hours.

[2]

Write down a null and alternative hypothesis for a two-tailed test.

[1]

A technician takes a sample of 20 batteries and finds a mean lifetime of 51 hours. Test at the 2% significance level whether there is evidence that the mean lifetime has changed.

[3]

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only) Questions

A Level
Maths
2.5.8 Hypothesis test for a single mean (A-level only)

132 exam-style questions on OCR (MEI) A Level Maths 2.5.8 Hypothesis test for a single mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.