Statistics and Probability Answers

A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.

x 10 12 24 20 13 13 8 22

y 80 83 94 90 85 84 80 89

Does the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before final examination have significant effect to his or her grade in statistics and probability? Used 0.05 level of significance.

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DEADLINE : 05/20/2022 11 : 00 PM

A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.

x 10 12 24 20 13 13 8 22

y 80 83 94 90 85 84 80 89

Predict the grade of a student who reviewed 15 hours a week before the final examination in statistics and probability.

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DEADLINE : 05/20/2022 11 : 00 PM

A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.

x 10 12 24 20 13 13 8 22

y 80 83 94 90 85 84 80 89

Find the slope (a) and y-intercept (b) of the regression line. Interpret the results.

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DEADLINE : 05/20/2022 11 : 00 PM

(i) Develop a regression model that could be used to predict the number of victories based

on the earned run average

(ii) Develop a regression model that could be used to predict the number of victories based

on the batting average.

(iii) Which of the two models is better for predicting the number of Victories?

Teams. Victories ERA. AVG

NYY. 103. 4.26. 0.283

LAA. 97. 4.45 0.285

BRS. 95. 4.35. 0.270

MT. 87. 4.50. 0.274

TR. 87. 4.38. 0.260

DT. 86. 4.29. 0.260

SM. 85. 3.87. 0.258

TBR. 84. 4.33. 0.263

CWS. 79. 4.14. 0.258

TBJ 75. 4.47. 0.266

OA. 75. 4.26. 0.262

CI. 65. 5.06. 0.264

KCR. 65. 4.83. 0.259

BO. 64. 5.15. 0.268

Sacks of potatotes are packed by an automatic loader with mean weight 114 lb. in a test it

was found that 10% bags were over 116 lb. use this to find the SD of the process. If the

machine is now adjusted to a mean weight of 113 lb, what percent are now over 116lb, if

SD remains unaltered?

13) In a soap making process it was found that 6.23

% of bars produced weighed less than 90.50

g and 4% weighed more than 100.25 g

a. Find the mean and the S.D. of the process.

b. What percent of the bars would you expect to weigh less than 88g?

14) A light bulb manufacturer finds that 5% of his bulbs last more than 500 hours. An

improvement in the process meant that the mean lifetime was increased by 50 hours. In a

new test, 20% of bulbs now lasted longer than 500 hours. Find the mean and standard

deviation of the original process.