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Given the distribution of salaries for Company B is normal. The population mean is $52000. The population standard deviation is $1500. A sample 64 salaries are selected at random and the mean, x-bar, is calculated. Answer Questions 1 and 2. 1. Find (X-bar>48000.) 2. Find P( 50000 54000).

Given the distribution of salaries for Company B is normal. The population mean is $52000. The population standard deviation is $1500. A sample 64 salaries are selected at random and the mean, x-bar, is calculated. Answer Questions 1 and 2. 1. Find (X-bar>48000.) 2. Find P( 50000 54000).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given the distribution of salaries for Company B is normal. The population mean is $52000. The population standard deviation is $1500. A sample 64 salaries are selected at random and the mean, x-bar, is calculated. Answer Questions 1 and 2. 1. Find (X-bar > 48000.) 2. Find P( 50000 <X-bar > 54000). 3. Given N= 6 Statistic test scores: X= 60, 70, 75, 80, 85, 90. Find the Population Variance and Standard Deviation. 4. Given n=15 Test scores in Algebra: 60, 62, 68, 70, 72, 74, 78, 79, 82, 84, 86, 90, 92, 94, 95. Find the Percentile corresponding to x= 78 and x= 90. 5. The population standard Deviation of a Standardized Anatomy Exam was 500 with a standard deviation of 48. Assume the distribution of scores is Bell-shaped. a) 47.5% of the scores are in what intervals? b) 49.85% of the scores are in what intervals? A manufacturer of mint chocolate chips would like to know whether its bag filling machine works correctly at the 440 gram setting. The Quality assurance team claims that the machine is filling the bags is less than 440 grams. A sample of 26 bags had a sample mean of 436.5 grams. The sample standard deviation is 3.50 Assume a Level of Significance of a=0.01. Test the claim. Answer Questions 6-10. 5. State the Null and alternative Hypotheses 6. Find the Critical Value 7. Calculate the Test value. 8. Make a Decision 9. Summarize the Results. The data below are years(x) and the profit (y) in millions of dollars for Company X. (n = 6) х у 0 15 1 12 2 10 3 7 45 5 3 11. Find the Correlation Coefficient r. 12.Interpret your result in #11. 13. Find the Linear Regression Equation: y-hat = mx + b 14 .Find y-hat when x = 0, 2, 4, 5 and 6.
Transcribed Image Text:Given the distribution of salaries for Company B is normal. The population mean is $52000. The population standard deviation is $1500. A sample 64 salaries are selected at random and the mean, x-bar, is calculated. Answer Questions 1 and 2. 1. Find (X-bar > 48000.) 2. Find P( 50000 <X-bar > 54000). 3. Given N= 6 Statistic test scores: X= 60, 70, 75, 80, 85, 90. Find the Population Variance and Standard Deviation. 4. Given n=15 Test scores in Algebra: 60, 62, 68, 70, 72, 74, 78, 79, 82, 84, 86, 90, 92, 94, 95. Find the Percentile corresponding to x= 78 and x= 90. 5. The population standard Deviation of a Standardized Anatomy Exam was 500 with a standard deviation of 48. Assume the distribution of scores is Bell-shaped. a) 47.5% of the scores are in what intervals? b) 49.85% of the scores are in what intervals? A manufacturer of mint chocolate chips would like to know whether its bag filling machine works correctly at the 440 gram setting. The Quality assurance team claims that the machine is filling the bags is less than 440 grams. A sample of 26 bags had a sample mean of 436.5 grams. The sample standard deviation is 3.50 Assume a Level of Significance of a=0.01. Test the claim. Answer Questions 6-10. 5. State the Null and alternative Hypotheses 6. Find the Critical Value 7. Calculate the Test value. 8. Make a Decision 9. Summarize the Results. The data below are years(x) and the profit (y) in millions of dollars for Company X. (n = 6) х у 0 15 1 12 2 10 3 7 45 5 3 11. Find the Correlation Coefficient r. 12.Interpret your result in #11. 13. Find the Linear Regression Equation: y-hat = mx + b 14 .Find y-hat when x = 0, 2, 4, 5 and 6.
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