Lightning Labs provides drug companies and law enforcement agencies with mitochondrial DNA culturing. They claim they can complete the culturing of a mitochondrial DNA sample in less than 16 hours. You are given the following data from a sample.
Sample size: 36
Population standard deviation: .75
Sample mean: 15.23
Formulate a hypothesis test to evaluate this claim.
Assume that customers patronizing Pete's Gettem While They're Hot hot dog stand are binomially distributed by age (young = 18 or younger, and old = over 18). If 10 people visit Pete's on a typical day, determine the following:
Binomial distribution
10
n
0.5
p
X
P(X)
cumulative
probability
0
0.00098
0.00098
1
0.00977
0.01074
2
0.04395
0.05469
3
0.11719
0.17188
4
0.20508
0.37695
5
0.24609
0.62305
6
0.20508
0.82813
7
0.11719
0.94531
8
0.04395
0.98926
9
0.00977
0.99902
10
0.00098
1.00000
What is the probability that at least six will be young?