The weight of a Holy Hand Grenade is known to be normally distributed with a mea
ID: 3159814 • Letter: T
Question
The weight of a Holy Hand Grenade is known to be normally distributed with a mean of 15 pounds and s standard deviation of 4 pounds. Fin the probability that the mean weight of 100 randomly selected Holy Hand Grenades is at least 14 pounds. According to recent study, six in twenty unladen European swallows have a velocity of 25 mph. How would the sample proportion be distributed if a sample of swallows is drawn of size n = 100? What is the probability that more than 20% of swallows have a velocity of 25 mph. Extra: Would the results be different with African swallows?Explanation / Answer
1. The weight of a Holy Hand...
We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as
x = critical value = 14
u = mean = 15
n = sample size = 100
s = standard deviation = 4
Thus,
z = (x - u) * sqrt(n) / s = -2.5
Thus, using a table/technology, the right tailed area of this is
P(z > -2.5 ) = 0.993790335 [ANSWER]
*******************************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.