A convenience store has 25 shops in the north of England. In how many ways can a sample of size 10 be drawn?

1.   ?    3268760
2.   ?    250
3.   ?    3628800
4.   ?    390625

The times (in minutes) of 8 randomly selected trains from Norwich to London are as follows: 125, 134, 129, 132, 124, 138, 145, 130.
What is an estimate for the mean and variance of all such times?

1.   ?    mean 132.125 variance 6.470
2.   ?    mean 132.125 variance 41.859
3.   ?    mean 132.125, variance 47.839
4.   ?    mean 131 variance 6.917

If X is the number on the uppermost face of a regular six-sided die, what are E(X) and Var(X)?

1.   ?    E(X) = 3.5, Var(X) = 1.707
2.   ?    E(X) = 3.5, Var(X) = 2.92
3.   ?    E(X) = 3, Var (X) = 5
4.   ?    E(X) = 4, Var(X) = 15.167

If X is the number on the uppermost face of a regular six-sided die, calculate the mean and variance of the sample mean, the average score obtained from 30 throws of the die.

1.   ?    mean 3.5, variance 0.097
2.   ?    mean 3.5, variance 2.92
3.   ?    mean 3, variance 2.92
4.   ?    mean 4, variance 0.506

If the variance of a random variable is 25 and the variance of the mean of a sample of size n is 0.5, what is n?

1.   ?    100
2.   ?    10
3.   ?    5
4.   ?    50

Biscuits produced by a particular process have mean weight 50g and variance 1g. A sample of 40 biscuits is taken and found to have a mean weight of 48.9g. Calculate a 95 % confidence interval for the mean weight of biscuits made by this process?

1.   ?    (48.59, 49.21)
2.   ?    (48.851, 48.949)
3.   ?    (48.64, 49.16)
4.   ?    (49.69, 50.31)

The percentage monthly return on a particular ordinary share is known to be normally distributed with standard deviation 1.3. A sample of 8 returns gives a mean of 0.6. Calculate a 90% confidence interval for the mean monthly return on this share?

1.   ?    (-0.301, 1.501)
2.   ?    (0.253, 0.947)
3.   ?    (-0.156, 1.356)
4.   ?    (0.011, 1.189)

If T has a t distribution with 5 degrees of freedom, what is t such that P(T < t ) = 0.95 ?

1.   ?    1.476
2.   ?    2.015
3.   ?    2.571
4.   ?    1.943

The lifetime of light bulbs is known to be normally distributed. A sample of 10 lifetimes gives a mean value of 124 hours and a standard deviation of 6 hours. Calculate a 99% confidence interval for the mean lifetime of these light bulbs.

1.   ?    (117.99, 130.01)
2.   ?    (118.65, 129.35)
3.   ?    (117.83, 130.17)
4.   ?    (119.71, 128.29)

A sample of 8 students had average hourly pay of £4.50 with a standard deviation of 50p. Calculate a 95% confidence interval for the mean hourly rate of pay. You may assume that rates of pay are normally distributed.

1.   ?    (£4.16, £4.83)
2.   ?    (£4.09, £4.91)
3.   ?    (£4.17, £4.83)
4.   ?    (£4.08, £4.92)