The quality-control manager at a compact fluorescent light bulb factory need to determine whether the mean life of a large shipment of bulbs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 bulbs indicates a sample mean life of 7,250 hours. 1. Set the hypothesis, for matching this statement "Is there evidence that the mean life is difference from 7,500 hours?" 2. At 95% confidence, what is the estimation of population mean life of the bulbs? 3. Compute p-value. 4. Find the solution, by using level of significance = 0.05

Answers

Answer 1

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: [tex]\mu =[/tex] 7500

H₁: [tex]\mu \neq[/tex] 7500

where, n = 64, x = 7250, [tex]\sigma =[/tex]1000 hours

Test statistics:

[tex]Z = \frac{7250-7500}{\frac{1000}{\sqrt{64}} } \\\\Z = -2[/tex]

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 [tex]\mu[/tex] is

[tex][7250-1.96\times \frac{1000}{\sqrt{64}},7250+1.96\times \frac{1000}{\sqrt{64}} ]\\\\(7005,7495)[/tex]

3).

the p-value is given by

[tex]p-value =2P(Z\leq -|z|)\\\\p-value =2P(Z\leq -|2|)\\\\p-value = 0.0455[/tex]

Related Questions

(
Which statement represents what a person with a Growth Mindset believes?
A: I'm just never going to be good at some activities.

B: If I'm not smart, there's nothing I can do about it.

C: I can improve any of my abilities with practice.

D: Making a mistake means I'm stupid and bad at everything.

Answers

I can improve any of my abilities with a practice statement that represents what a person with a Growth Mindset believes. Thus, option C is correct.

What is a Growth Mindset?

Those with a growth mindset think they can get smarter and more talented by working hard and doing things. A growth mindset permits folks to "bounce back" by putting out more motivating effort and acknowledges that failures are an essential part of what we learn.

People can value their work despite what happens thanks to the growing attitude. The idea that you were born with a particular thinking and it can change is known as a specific mindset. This will represent the way that the person will be performing the activity and will be working to achieve it.

Therefore, option C is the correct option.

Learn more about Growth Mindset, here:

https://brainly.com/question/22653110

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Hamadi is renting a car. The rental charge is $17.50 per day plus $0.16 per mile. Hamadi can
spend at most $33 for the cost of the car rental. If Hamadi rents the car for one day, which of
the following is one possible number of miles Hamadi can drive the rental car?

Answers

Answer:

96 full miles.

Explanation:

[tex]33=17.50+0.16m\\0.16m=15.5\\m=\frac{15.5}{0.16}\\m=96.875[/tex]

We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 68 minutes with a standard deviation of 12 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 1 minutes. What is the smallest sample size that we should consider

Answers

Answer: The smallest sample size would be 392.

Explanation:

Since we have given that

Standard deviation = 12 minutes

Mean = 68 minutes

Margin of error = [tex]\pm 1[/tex]

At 90% confidence interval, z = 1.65

So, the smallest sample size that we should consider would be

[tex]n=(\dfrac{z\times \sigma}{ME})^2\\\\n=(\dfrac{1.65\times 12}{1})^2\\\\n=(19.8)^2\\\\n=392.04\\\\n=392[/tex]

Hence, the smallest sample size would be 392.

Answer:392

Explanation:

Was pop music new in London in 1965?

Answers

Answer I dont live in london

Explanation:

The Beatles and the Rolling Stones were

number each material and sort the items in order from lowest (1) to highest (7) Density

- chalk

- copper

- flour

- dry beans

- talcum powder

- wax

- wet sand

Answers

Answer: copper > chalk > flour > talcum powder > dry beans.

Explanation:

Density is the compactness of given object.

Basically, it is mass per volume.

copper has the most density

chalk has lesser density than copper.

flour has lesser density than copper and chalk.

talcum powder has lesser density than copper, chalk and flour.

dry beans have lesser density than copper, chalk, and flour.

So, it becomes,

copper > chalk > flour > talcum powder > dry beans.

Yea I don’t get this but hope you get someone to answer it :)

Which word(s) are associated with the illustration? A) legend B) caption C) definition D) call number

Answers

Answer:

I belive its definition

The answer would be c : Definition

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