The algebraic expression x • y • z = y • x • z exhibits the transitive property. Transitive property is applied when rearranging the elements or numbers within a term such that the answer or value is still the same. Transitive property is useful in factoring procedure.
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
Answer:
eY is positive +0.1 therefore bagels are a normal good.
Step-by-step explanation:
Given data:
when, 10% rise in cheese price, 3% fall in bagels quantity observed
when, 10% rise in income, 1% fall in bagels quantity observed
from formula for cross price elasticity of demand, determine 
As, eAB is negative, bagels $ cream cheese are complements.
By formula for income elasticity of demand,
we find that
Since eYis positive, bagels are a normal good.
