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.
Answer:
The interest is $1600 and the amount is $3600.
Step-by-step explanation:
STEP 1: Find an interest by using the formula I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example P = $2000, i = 4% and t = 20 years, so
III=P⋅i⋅t=2000⋅0.04⋅20=1600
STEP 2: Find an amount by using the formula A=P+I.
Since P = $2000 and I = $1600 we have
AAA=P+I=2000+1600=3600
N = 5
These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is
5/12.5 = 4/10 = 2/5
So if AB corresponds to QR (2 corresponds to n) then n = 5
Answer:There is no answer
Step-by-step explanation: Get Good