Q5 (a) A manufacturing company claims that the mean lifetime of bulbs produced was at least 160 hours. In a random sample of 100 bulbs produced, the sample mean lifetime of bulbs was 150 hours and the sample standard deviation was 25 hours. (i) Construct a 95% confidence interval for the mean lifetime of bulbs produced. (ii) Construct a 99% confidence interval for the mean lifetime of bulbs produced. (iii) Calculate the width of confidence interval in (a) and (b). Interpret the result.

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Q5 (a)
A manufacturing company claims that the mean lifetime of bulbs produced
was at least 160 hours. In a random sample of 100 bulbs produced, the
sample mean lifetime of bulbs was 150 hours and the sample standard
deviation was 25 hours.
(i)
Construct a 95% confidence interval for the mean lifetime of bulbs
produced.
(ii)
Construct a 99% confidence interval for the mean lifetime of bulbs
produced.
(iii)
Calculate the width of confidence interval in (a) and (b). Interpret the
result.
Transcribed Image Text:Q5 (a) A manufacturing company claims that the mean lifetime of bulbs produced was at least 160 hours. In a random sample of 100 bulbs produced, the sample mean lifetime of bulbs was 150 hours and the sample standard deviation was 25 hours. (i) Construct a 95% confidence interval for the mean lifetime of bulbs produced. (ii) Construct a 99% confidence interval for the mean lifetime of bulbs produced. (iii) Calculate the width of confidence interval in (a) and (b). Interpret the result.
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