Answer:
There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 300
p = 5% = 0.05
Alpha, α = 0.05
Number of dead pixels , x = 24
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from excel.
P-value = 0.00856
Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Figure 1:
3 x 8 x 5 = 120cm³
Figure 2:
2 x 5 x 6 = 60cm³
Total Volume = 120 + 60 = 180cm³
The answer is 0.
assuming by the dots that it includes tan80 +tan100 +tan120 +tan140 +tan160 in the equation.
The expression 5h+8 represents Harriet's gross pay each day.
Step-by-step explanation:
Given,
Gross pay of Harriet = 35h + 56
This expression represent Harriet's pay for 7 day.
Harriet's gross pay per day = 
Harriet's gross pay per day = 
Harriet's gross pay per day = 
Harriet's gross pay per day = 5h+8
The expression 5h+8 represents Harriet's gross pay each day.
Keywords: division, addition
Learn more about division at:
#LearnwithBrainly
