A population of values has a normal distribution with μ = 244.8 and σ = 92.7. a. Find the probability that a single randomly selected value is between 222.9 and 250.5. Round your answer to four decimal places. P(222.9 X < 250.5) = = b. Find the probability that a randomly selected sample = 95 has a mean between 222.9 and 250.5. of size n Round your answer to four decimal places. P(222.9

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose reading from the horse (in mg/100 mg).  92  87  82  107  99  109  85  89  The sample mean x-bar is 93.8. Let x be a random variable representing glucose readings taken from gentle Ben.  We may assume x has a normal distribution, and we know from past experience that the standard deviation = 12.5. The mean glucose level for horses should be mu = 85mg/100gl.  Do these data indicate that gentle Ben have a overall average glucose level higher than 85? Use alpha = 0.05 A- Compute z value of the sample stasistic test. Round answer to 2 decimal places B- Find (or estimte) the P-Value . Round answer to 4 decimal places  I get 1.99 for the z value but cannot come up with correct p-value.

A population of values has a normal distribution with mean 191.4 and standard deviation of 69.7. A random sample of size n = 153 is drawn. A. Find the probability that a single randomly selected value is between 188 and 206.6 round your answer to four decimal places. P=______________ B. Find the probability that a sample of size n=153 is randomly selected with a mean between 188 and 206.6. Round your answer to four decimal places. P=________________

What would the p-value be?