Josh is hiking glacier national park. he has now hiked a total of 17 \text{ km}17 km17, start text, space, k, m, end text and is 2 \text{ km}2 km2, start text, space, k, m, end text short of being \dfrac12 2 1 start fraction,
1, divided by,
2, end fraction of the way done with his hike.
write an equation to determine the total length in kilometers (h)( h, )of josh's hike.
find the total length of josh's hike. \text{km}km

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.