Question

Results (in grrandom from a candy production line, were analyzed to determine their sugar content. Results (in grams) are summarized in th Nine samples, collected at these data to address the questions below 1. Which of the following methods would you recommend to determine 4 e following list: 15.60,15.47,14.71,15.07,15.20,16.21,15.69,15.30,15.30. Use if these data are reasonably normally distributed? a. Create a normal probability plot b. Create a histogram c. Transformation to a standard Z variable d. Plot the lognormal distribution 2. 3, 4. 5. e. Calculate the standard error of the mean Calculate a 99% confidence interval for the mean. Calculate the 99% lower bound for the mean. Calculate a 99% prediction interval for the next'sample that is taken Calculate a 99% tolerance interval on the sample mass that has confidence evelou U. d 6. Calculate the 99% confidence interval for the standard deviation 7. Calculate the 99% lower bound for the standard deviation.-C

Answer 1

1) here best method is normal probability plot

Probability Plot ofX Probability Plot of X Normal-95% CI 99 т Mean 15.39 StDev 04228 95 AD 0.216 90 P-Value 0.777 80 70 C 60 50 40 30- 20 10- 5- 14.0 14.5 15.0 15.5 16.0 16.5 17.0

2) 99% Confiodence interval for mean

One-Sample T: X

Variable N Mean StDev SE Mean 99% CI
X 9 15.394 0.423 0.141 (14.922, 15.867)

99% Confiodence interval for mean  is  (14.922, 15.867)

3) 99 % lower bound of the mean is 14.922

4) 99 % prdiction interval is

CI = (mean - 3*sigma , mean + 3* sigma)

= (15.39-3*0.4228 , 15.39+ 3*0.4228

= (14.12 , 16.65)

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