Manufacturer level of significance, least squares regression line
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A manufacturer of a chemical used in glue, attempting to control the amount of a hazardous chemical its workers are exposed to, has given instructions to halt production if the mean amount in the air exceeds 3.0ppm. It is believed that the standard deviation is 0.5. ppm from a previous study. A random sample of 50 air specimens produced the sample mean=3.1 ppm. If the significance level of shutting down production is set at α = 0.05, given this air sample should production be halted?
a. No
b. Yes
c. Insufficient information to make a decision
d. Depends on the power of the Test
The least squares regression line minimizes the sum of the:
a. Differences between actual and predicted Y values
b. Absolute deviations between actual and predicted Y values
c. Absolute deviations between actual and predicted X values
d. Squared differences between actual and predicted Y values
e. Squared differences between actual and predicted X values
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Solution Summary
A chemical manufacturers level of significance is determined. A least square regression line are determined.
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The answer to the 1st question is
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Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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