A manufacturer of automobile spark plugs has several production facilities sprea

Question

A manufacturer of automobile spark plugs has several production facilities spread across a wide geographical area. The quality control manager at each plant budgets a certain A amount of money (QC $, measured in thousands of dollars) for quality control efforts each week (maintenance and calibration of equipment, time spent on process evaluation, etc.). Each manager also determines the percentage of defective spark plugs (% DEF) produced each week. The company's vice president of operations has collected a sample of data to determine the association between these variables. A scatterplot, fitted line, and summary output for a simple repression model are provided: Which of the following can be used as justification to reject the hypothesis: H_0: beta_1 = 0 at a level of significance of alpha =. 05? A 95% prediction interval for %DEF does not contain the value of zero. A 95% confidence interval for the slope beta_1 does not contain the value of zero. None of these results would allow us to conclude to reject the hypothesis. The standard error of the residuals is less than 1. The value of se(b_1) is not equal to zero. Which of the following represents a 95% confidence interval for the slope beta_1? (-1.22, -1.19) (-1.93, 1.93) (-1.30, -1.11) (-1.25, -1.15) (-3.14, 0.73)

Explanation / Answer

1) a 95% confidence interval for the slope B1 does not contain the value of 0.

2)for 83 df and 95% CI, t=1.989

hence confidence interval =sample mean -/+ t*std error =-1.2045 -/+ 1.989*0.0498 =-1.30 ; -1.11

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