Answer:
upper control limit = 13.34
Step-by-step explanation:
The c-chart is used to check the change in the number of recorded calls per day
First find out the center line
c = sum of recorded calls/number of days
c = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9 + 8)/9
c = 54/9
c = 6
The upper control limit for 3σ is
upper control limit = c + 3√c
upper control limit = 6 + 3√6
upper control limit = 13.34
Therefore, the upper control limit for the 3-sigma c-chart is 13.34.
Answer and Step-by-step explanation:
we have the following data:
Point estimate = sample mean = \ bar x = 12.39
Population standard deviation = \ sigma = 3.7
Sample size = n = 177
a) the margin of error with a 90% confidence interval
α = 1 - 90%
alpha = 1 - 0.90 = 0.10
alpha / 2 = 0.05
Z \ alpha / 2 = Z0.05 = 1,645
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 1.645 * (3.7 / \ sqrt177)
Outcome:
E = 0.46
b) margin of error with a 99% confidence interval
α = 1-99%
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
Z \ alpha / 2 = Z0.005 = 2,576
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 2,576 * (3.7 / \ sqrt177)
Outcome:
E = 0.72
c) A larger confidence interval value will increase the margin of error.
Distance = rate multiplied by time so do the inverse of that
Answer:
y=1/4x+6 1/4
Step-by-step explanation:
Answer:
4:7
Step-by-step explanation:
4:7
they make 7 cakes in total (3:4 = 7).
there are 4 vanilla cakes.
therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.
