A manufacturing company claims that its new light bulb will last 1200 hours. After collecting a sample of size 20, you determine that a 98% confidence interval for the true mean number of hours that the light bulb will last is from 972 to 1101. From this information, three statements are made concerning tests of significance about the mean. Assume all the tests are two-sided.

(i) We have sufficient evidence to reject the null hypothesis that mean = 1200 at both the 2% and the 5% significance level.

(ii) If a 99% confidence interval for the mean number of hours the light bulb will last were computed, the numerical value 992 would lie in this interval.

(iii) If we were interested in testing the null hypothesis H_0 : mean = 991, we know that the P-value must be less than 0.01.

Which of these statements are true?

Question 16 options:

Only (i) and (ii)

Only (ii) and (iii)

Only one statement is true

Only (i) and (iii)

All statements are true