Complete Question:
The mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFLs indicate a sample life of 7,250 hours.
1. State the Null and Alternative Hypothesis.
2. At the 0.05 level of significance, is there evidence that mean life is different from 7,500 hours.
3. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
4. Compute the p-value and interpret its meaning.
Answer:
-2, (7005, 7450), 0.045
Explanation:
1).
H₀: mean of life shipment is 7500 hours
the hypothesis are outlined as follows
H₀: 
7500
H₁: 
7500
where, n = 64, x = 7250, 
1000 hours
Test statistics:
Our conclusion from the above result is that there is sufficient evidence to say that the mean life is different from 7500 hours
2). 95% confidence Interval for the population mean 
is
![[7250-1.96\times \frac{1000}{\sqrt{64}},7250+1.96\times \frac{1000}{\sqrt{64}} ]\\\\(7005,7495)](https://tex.z-dn.net/?f=%5B7250-1.96%5Ctimes%20%5Cfrac%7B1000%7D%7B%5Csqrt%7B64%7D%7D%2C7250%2B1.96%5Ctimes%20%5Cfrac%7B1000%7D%7B%5Csqrt%7B64%7D%7D%20%5D%5C%5C%5C%5C%287005%2C7495%29)
3).
the p-value is given by
The premium that the insurance company should charge each year to realize an average profit of $500 is $6,900.
First step is to calculated the expected amount to pay
Expected amount=Total loss +50% loss+25% loss
Expected amount=$200,000(0.002)(1)+$200,000(0.01)(0.5)+$200,000(0.1)(0.25)
Expected amount=$400+$1,000+$5,000
Expected amount=$6,400
Second step is to calculate the premium
Premium=Expected amount+ Average profit
Premium=$6,400+$500
Premium=$6,900
Inconclusion the premium that the insurance company should charge each year to realize an average profit of $500 is $6,900.
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Hello! An answer I can give you is the “Chinese exclusion Act”
This act was published May of 1882 and repealed December of 1943.
The thing which Kant determined was essential for ethics is to be truthful and to do unto others as you would have them do unto you.
<h3>What is Ethics?</h3>
This refers to the set of values that are used to guide a person in doing the right thing in any given circumstance.
Hence, we can see that Immanuel Kant, a philosopher was of the opinion that for ethics to thrive, then people must always be truthful and also to follow the golden rule.
Read more about ethics here:
brainly.com/question/13383200
#SPJ1
Answer:
Neptune’s axis of rotation is tilted 28 degrees with respect to the plane of its orbit around the Sun, which is similar to the axial tilts of Mars and Earth. This means that Neptune experiences seasons just like we do on Earth; however, since its year is so long, each of the four seasons lasts for over 40 years.
Explanation:
