Question

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The...

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true lifetime is smaller than what is advertised. A random sample of 60 bulbs was selected. In this sample, the mean lifetime was 741.8 and the standard deviation was 19.2. What conclusion would be appropriate for a significance level of 0.01?

a) State the Null and Alternative hypothesis.

b) Draw the picture to state the rejection region for a significance level of 0.01.

c) Find the Test statistic value z.

d) Find the P-value (observed significant level) .

e) Find the critical value.

f) Decide whether H_0 (null hypothesis) should be rejected, and state this conclusion in the problem context.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The...
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 50 bulbs was selected, and the sample mean was found to be 738.44 with a standard deviation of 38.20 and a standard error...
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The...
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 40 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output....
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The...
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 44bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable...
problem 7. Lightbulbs of a certain type are advertised as having an average lifetime of 750...
problem 7. Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 50 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using Minitab, resulting in the...
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens...
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.3 and a sample standard deviation of s = 4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that...
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens...
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 53.2 and a sample standard deviation of s = 4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that...
The probability that a person will develop dementia over their lifetime is 0.004. Researches conducted a...
The probability that a person will develop dementia over their lifetime is 0.004. Researches conducted a random sample of 3000 people and determined that 17 of them developed dementia. Is there evidence to support the claim that the true proportion of people who will develop dementia is different from 0.004 at the α = 0.05 level of significance? 1. Determine what the null and alternative hypotheses is: Ho: H1: 2. Which type of test is conducted in the problem? 3....
An advertised average fuel consumption for a 2013 Land Rover LWB is 12 MPG (City). You...
An advertised average fuel consumption for a 2013 Land Rover LWB is 12 MPG (City). You choose a 0.05 signicance level to perform a hypothesis test to verify this claim using your brand new Land Rover. You record your fuel consumption and record the averages for every month. After 16 months you have a sample consisting of 16 data points: 14.61, 8.60, 11.85, 10.13, 15.26, 17.16, 18.77, 15.01, 9.21, 17.20, 16.22, 15.54, 11.81, 13.94, 9.36, 10.71. (a) Set the signicance...
1. A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours....
1. A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of 8 of its light bulbs resulted in the following lives in hours: 995 590 910 539    916 728 664 693    At the 0.01 significance level, test the claim that the sample is from a population with a mean life of 900 hours. a. P-value = 0.979, reject alternative claim b. P-value = 0.042, reject alternative claim c. P-value...
For this problem, please do all 5-Steps: 1. State Null, Alternate Hypothesis, Type of test, &...
For this problem, please do all 5-Steps: 1. State Null, Alternate Hypothesis, Type of test, & Level of significance. 2. Check the conditions. 3. Compute the sample test statistic, draw a picture and find the P-value. 4. State the conclusion about the Null Hypothesis. 5. Interpret the conclusion. A car insurance company has determined that the mean annual car insurance cost for a family in the town of Watlington is $1716. A researcher wants to perform a hypothesis test to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT