Question

1)

A (1-a) confidence interval procedure ensures that if a large number of confidence intervals are computed, each based on n samples, then the proportion of the confidence intervals that contain the true value should be close to (1-a). True O False

2)

Answer 1

1) True

Reason: The 1-$\alpha$ confidence means that if you repeat the sampling procedure a large number of times and construct a confidence interval with 1-$\alpha$ confidence, then 1-$\alpha$ proportion of these confidence intervals are likely to contain the true population parameter.

2.)

The required sample size rounded up to the nearest integer is 1754 unis

Explanation:

For the pilot sample,

,

d 3 t*s/Vп S

where d=half width.

Therefore,

d/n/t =s

=dvn/t 1 10 20/2.093

=21.3671

Now, using above 's' as an estimate of population standard deviation, and assuming normal distribution, we have,

= ((za/2 *o) / E) = (1.96 21.3671/1)2 1753.89

1754