May/June 2026 Paper 62

2026 · 7 questions · 15 parts · 50 marks

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Finish set
Q1
1
–/3 mks
Q2
2
–/5 mks
Q3
3(a)3(b)3(c)
–/6 mks
Q4
4(a)4(b)4(c)
–/10 mks
Q5
5(a)5(b)
–/7 mks
Q6
6(a)6(b)6(c)
–/9 mks
Q7
7(a)7(b)
–/10 mks
Context for question 6
The length of time, minutes, that customers spend in a certain shop has the distribution . Last year the value of was 12.4. The manager of the shop wants to test whether the value of has decreased this year. She chooses a random sample of 75 customers and finds that the sample mean, , for these customers is 11.9.
6(a)Hypothesis TestingHard5 marks
Test at the 5% significance level whether the value of is less than 12.4.
State your hypotheses
0 words
Show your method
0 words
Test statistic
State your conclusion
0 words
6(b)Sampling Distributions Central Limit TheoremEasy1 mark
Explain whether it was necessary to use the Central Limit Theorem in your answer to 6(a).

Answer

0 words
6(c)Hypothesis TestingMedium3 marks
Later the manager chooses another large random sample of customers. She finds that, for these customers, . She carries out a similar test at the 5% significance level, and the conclusion is that there is evidence that the value of is less than 12.4. Find the range of possible values of .
Show your method
0 words
Smallest possible value of