(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives x = 2.384 and s = 0.7. (i) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?

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Can you help me with (iii) please

(d)
Assume that a certain dimension is measured on four successive items coming of a
production line. This sample gives i = 2.384 and s = 0.7.
(1) On the basis of this sample, what is the 85% confidence interval for the true
mean?
(ii) If instead of estimating the standard deviation from a sample, we knew the
true standard deviation was 0.7, what then would be the 85% confidence
interval for the true mean?
(iii) Suppose that we wanted the total width of the two-sided confidence interval on
mean to be 97% confidence with true standard deviation 0.7 and maximum
error of + 0.45. What sample size should be used?
Transcribed Image Text:(d) Assume that a certain dimension is measured on four successive items coming of a production line. This sample gives i = 2.384 and s = 0.7. (1) On the basis of this sample, what is the 85% confidence interval for the true mean? (ii) If instead of estimating the standard deviation from a sample, we knew the true standard deviation was 0.7, what then would be the 85% confidence interval for the true mean? (iii) Suppose that we wanted the total width of the two-sided confidence interval on mean to be 97% confidence with true standard deviation 0.7 and maximum error of + 0.45. What sample size should be used?
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