Statistics

posted by .

A reseacher would like to determine whether a change in lighting to full spectrum light bulbs increases productivity on an assembly line. A sample of n= 36 participants is obtained, and the light bulbs over the line are replaced. under general/historical operating procedures, productivity has a mean of 330 units per day and a standard deviation of 10. The individuals in the sample had an average productivity of 333 units and a s=11. A)Can the research team conclude that the change of light bulbs increased productivity with p level of 0.01? show all necessary components to support your answer when testing this hypothesis. B) The distribution of units produced is not normally distributed in the population. is it still all right to do a hypothesis test? Explain your answer.

• Statistics -

A) I would say the research team cannot conclude that the change of light bulbs increased productivity with the data given. However, check this by using the appropriate hypothesis test.

B) Yes, you can still do a hypothesis test by using one of the tenets of the Central Limit Theorem:

The shape of the sampling distribution increasingly approximates a normal curve as sample size (n) is increased, even if the original population is not normally distributed.

I hope this brief explanation will help.

Similar Questions

1. Math

A consumer buys n light bulbs, each of which has a lifetime that has a mean of 800 hours, a standard deviation of 100 hours, and a normal distribution. A light bulb is replaced by another as soon as it burns out. Assuming independence …
2. algebra 1

From a shipment of 350 light-bulbs, a sample of 70 was selected at random and tested. If 21 light-bulbs in the sample were found to be defective, how many defective light-bulbs would be expected in the entire shipment?
3. math

1) A light bulb producing company states that its lights will last an average of 1200 hours with a standard deviation of 200 hours. A sample of 100 light bulbs from the company were tested and the researcher found that the average …
4. Math

Daphne replaced light bulbs in her mothers store.She had 3/4 of a box of light bulbs. She used 1/3 of the bulbs. a. What fraction of the box of light bulbs was left?
5. algebra 1

On a restaurant sign, 14 light bulbs must be replaced. These light bulbs represent 3/8 of the total number of light bulbs on the sign. If b represents the total number of light bulbs, which equation could be used to determine the value …
6. statistics

A manufacturer of light bulbs has sampled 40 bulbs in order to determine the population mean life of the bulbs. The sample mean was 1,200 hours with a standard deviation of 100. The manufacturer would like to know, with 95% confidence, …
7. Physic

CFL light bulbs consume less power than their incandescent counterparts while providing about the same amount of light. Suppose a CFL, while consuming only 20 Watts of power produces as much light as a 60 Watt incandescent bulb. Also, …
8. statistics

twenty light bulbs are tested to see if they claims last long as the manufacturers claims they do. three light bulbs failed the test. two light bulbs are selected at random without replacement from this collection of bulbs find the …
9. statistics

twenty light bulbs are tested three light bulbs fail the test. two light bulbs are selected at random without replacement from this collection of bulbs find the probablilty that both light bulbs failed the test. round the answer 3 …
10. MATH

Joaquin buys 3 packs light bulbs. Each pack contains 12 light bulbs. After changing the bulbs in his house, he has 15 bulbs left. How many light bulbs did he use?

More Similar Questions