Answer:
No. Operations manager cannot conclude that his mail-order business is achieving its goal.
Step-by-step explanation:
We make hypothesis test about the manager's assuption:
Null hypothesis, : Average number of days to fill customers' orders is six or less
Alternate Hypothesis: : Average number of days to fill customers' orders is more than six.
According to the null hypothesis we assume number of days to fill customers' orders follows a normal distribution with mean 6 and standard deviation 1.5. We would test if the sample mean is in the critical field or not in the given significance level.
One tailed critical value for the significance level 0.025 is 1.96. We'll compare this value with the z-score of the sample mean 6.65, which is calculated as:
z= ≈ 2.74 where
- 6,65 is the sample mean
- 6 is the null hypothesis
- 1.5 is the standard deviation
- 40 is the sample size
Since 2.74>1.96, we can conclude that sample mean is in the critical region, we reject the null hypothesis.
Therefore operations manager can conclude that average number of days to fill customers' orders is more than 6 days.
Marcus shoes: 35.99(5.5%)= (about) $1.98(tax) so 35.99+1.98= 37.97
Tia shoes: 39.99(9%)= (about)3.60 (tax) so 39.99+3.60=43.59
However it’s 15% off so 43.59(15%)= 6.54 so 43.59-6.54= 37.05
The difference is 0.92
Answer:
Converse: “If x+y is even, then x is odd and y is odd”
FALSE
Step-by-step explanation:
The converse of
“If x is odd and y is odd, then x+y is even”
is
“If x+y is even, then x is odd and y is odd”
The converse is false.
Counter-example:
Take x = 2, y = 4
Then x+y = 6 which is even, but neither x nor y are odd.
Answer:
x ≥ -2
Step-by-step explanation:
-2 is included because of the filled in dot