Question

A company wishes to know if an early invented lightbulb last longer than a light bulbs...

A company wishes to know if an early invented lightbulb last longer than a light bulbs they currently sell. 50 of each type of Bulb are tested. The new light bulbs last on average 42 days with a standard deviation of two days and the old bulbs last on average 36 days with a standard deviation of five days.
In the following state the Null hypothesis and alternates.
so I just need To know what you would write out as the hypothesis

Homework Answers

Answer #1

Solution:

Let,

Group 1: Old light bulbs

Group 2: New light bulbs

Given:

and  

n1 = n2 = 50

The claim: An early invented lightbulb last longer than a light bulbs they currently sell.

That means, company wants to claim that old light bulbs are longer living than new light bulbs.

Therefore, null and alternative hypotheses:

Done

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Acme Corporation manufactures light bulbs rated to last 300 days. A sample of 20 bulbs are...
Acme Corporation manufactures light bulbs rated to last 300 days. A sample of 20 bulbs are tested and last an average of 290 days, with a standard deviation of 50 days. Given this data, construct a 80% confidence interval for the mean. What is the value of t from the table? What is the confidence interval?
The lifetimes of light bulbs that are advertised to last for 5, 000 hours are nor-...
The lifetimes of light bulbs that are advertised to last for 5, 000 hours are nor- mally distributed with a mean of 5, 100 hours and a standard deviation of 200 hours. What is the probability that a bulb lasts longer than the advertised figure?
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W W incandescent bulb uses only 23.0 W W of power. The compact bulb lasts 10000 hours, on the average, and costs $ $ 11.00, whereas the incandescent bulb costs only $ $...
8.A manufacturing company of light bulb claims that an average light bulb lasts 500 days. A...
8.A manufacturing company of light bulb claims that an average light bulb lasts 500 days. A contractor randomly selects 30 bulbs for testing. The sampled bulbs last an average of 490 days, with a standard deviation of 100 days. If the claim were true, what is the probability that 30 randomly selected bulbs would have an average life of no more than 490 days?
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 1.00×104 hours, on the average, and costs $ 12.0 , whereas the incandescent bulb costs only 76.0 ¢, but lasts...
The Inconvenient Light Company advertises that, on average, its CFL (Compact Fluorescent Light) bulbs last more...
The Inconvenient Light Company advertises that, on average, its CFL (Compact Fluorescent Light) bulbs last more than 4600 hours. To test this claim using a 2% significance level, a statistician plans to take a random sample of 97 bulbs and measure the amount of time until each bulb fails. The lifetimes of the 97 bulbs in the sample had a mean of 4656 hours and a standard deviation of 490 hours. The value of the test statistic for this sample...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 1.00×104 hours, on the average, and costs $12.00, whereas the incandescent bulb costs only 76.0 ¢, but lasts just 750...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 1.00×104 hours, on the average, and costs $ 12.0 , whereas the incandescent bulb costs only 76.0 ¢, but lasts...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They...
Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 1.00×104 hours, on the average, and costs $ 12.0 , whereas the incandescent bulb costs only 73.0 ¢, but lasts...
An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation...
An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days (this distribution is normally distributed). My new friend has started to manufacture more energy efficient light bulbs, but he is not sure if he has a good bulb. He gave me 27 bulbs, and thinks that his bulbs last 310 days. What would power be if I tested his 27 bulbs, using a two-tailed, alpha=.05 test? What is the critical value...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT