Answer: The critical value for a two-tailed t-test = 2.056
The critical value for a one-tailed t-test = 1.706
Step-by-step explanation:
Given : Degree of freedom : df= 26
Significance level : 
Using student's t distribution table , the critical value for a two-tailed t-test will be :-

The critical value for a two-tailed t-test = 2.056
Again, Using student's t distribution table , the critical value for a one-tailed t-test will be :-

The critical value for a one-tailed t-test = 1.706
Answer:
4/52
Step-by-step explanation:
Answer:
Adult tickets =125
Child tickets = 128
Step-by-step explanation:
Let the number of adult and children tickets sold be x and y respectively
So that
x+y= 253--------1
Since total sales/receipt is $2,771
And given that tickets for a dance recital cost $15 for adults and $7 for children hence
15x+7y= 2771-------2
Solving equation 1 and 2 simultaneously we have
x+y= 253---------------1
15x+7y= 2771----------2
Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3
15x+15y=3795---------3
-{15x+7y= 2771----------2
0+8y=1024
8y= 1024
y= 1024/8
y= 128 tickets
So solve for x let us put y= 128 in equation 1
x+ 128=253
x=253-128
x= 125 tickets
Answer:
Step-by-step explanation:
Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a) P(X = n) = q(n-1)p, where q = 1 - p.
From the information given, probability if success, p = 12.6/100 = 0.126
b) for n = 3, the probability value from the geometric probability distribution calculator is
P(n = 3) = 0.096
For n = 5, the probability value from the geometric probability distribution calculator is
P(n = 5) = 0.074
For n = 12, the probability value from the geometric probability distribution calculator is
P(n = 12) = 0.8
c) For n ≥ 5, the probability value from the geometric probability distribution calculator is
P(n ≥ 5) = 0.58
d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.
Mean = 1/p
Mean = 1/0.126 = 7.9
Approximately 8 apples