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The current mean rate for producing 5 amp fuses at Monarch Electric Company is 2

ID: 3022417 • Letter: T

Question

The current mean rate for producing 5 amp fuses at Monarch Electric Company is 250 per hour. A new machine has been purchased and installed. A sample of 10 randomly selected hours from last week revealed the mean hourly production on the new machine was 256, with a sample standard deviation of 12 per hour. At a 0.05 significance level can Monarch conclude that there is a change in the hourly mean production rate?

a.

What is the population parameter to be tested?

the variance of the production rate

the production rate of 256 per hour

the current mean production rate

the new mean production rate

the proportion of defective parts

What are your hypotheses?

  H0 : = 256 and Ha : 256

   H0 : = 250 and Ha : 250

H0 : > 256 and Ha : 256

  H0 : > 250 and Ha : 250

What is the value of the test statistic?

1.96

- 3.4    

1.58

- 0.6

3.58

What is the estimated p-value of the test?

Between 0.005 and 0.01

Between 0.025 and 0.05   

Between 0.01 and 0.025

Between 0.10 and 0.20

Between 0.05 and 0.10  

What is your conclusion?

the old mean production rate changed

the new mean production rate can be still 250 per hour

there is an increase in the proportion of defective parts

there is an increase in the mean production rate

the new mean production rate differs from the old one

the variance of the production rate

the production rate of 256 per hour

the current mean production rate

the new mean production rate

the proportion of defective parts

Explanation / Answer

a.) The new mean production rate

b.) H0 : = 250 and Ha : 250

c.) t = (256 - 250)/(12/10)

= 1.58

Between 0.01 and 0.025

d.) the new mean production rate can be still 250 per hour

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