the lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. a random sample of 25 snakes is taken and results in a sample mean of 58 inches. identify the parameters needed to calculate a confidence interval at the 99% confidence level. then find the confidence interval. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

x = 58

σ = 8

n = 25

z α/2 = 2.576

(53.88, 62.12)

the given values σ=8, n=25, and z α/2=2.576 for a confidence level of 99%, we have

margin of error=(2.576)(8/√25)

≈ (2.576)(1.6)

≈4.12

With x¯=58 and a margin of error of 4.12, the confidence interval is

(58−4.12,58+4.12)

= (53.88 , 62.12).

therefore we can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.

To know more about standard deviation , visit:

brainly.com/question/475676

#SPJ4