A chip manufacturer purchases silicon wafers (discs) which are used to build the circuits of certain microprocessors. The mean diameter of the wafers is supposed to be 2.8 centimetres with a standard deviation of 0.15 cm. If the wafer is too small or too large, it will damage the equipment used to manufacture microchips.The manufacturer measures the diameter in a sample of 14 wafers to establish if the mean diameter significantly departs from the required size. The sample produced an average diameter of 2.71 cm. ?0�0: ?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71 ?� = 2.8 ?� ≠ 2.8 ?1�1: ?� ≠ 2.8 ?� = 2.8 ?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71 John, a restaurant owner, suspects that prices of tomatoes in Bury are lower than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £18.2 with standard deviation £0.77. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £19.98. ?0�0: ?� = 18.2 ?� ≠ 19.98 ?� > 18.2 ?� < 18.2 ?� ≠ 18.2 ?� = 19.98 ?1�1: ?� > 18.2 ?� = 18.2 ?� < 18.2 ?� ≠ 19.98 ?� = 19.98 ?� ≠ 18.2
A chip manufacturer purchases silicon wafers (discs) which are used to build the circuits of certain microprocessors. The mean diameter of the wafers is supposed to be 2.8 centimetres with a standard deviation of 0.15 cm. If the wafer is too small or too large, it will damage the equipment used to manufacture microchips.The manufacturer measures the diameter in a sample of 14 wafers to establish if the mean diameter significantly departs from the required size. The sample produced an average diameter of 2.71 cm. ?0�0: ?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71 ?� = 2.8 ?� ≠ 2.8 ?1�1: ?� ≠ 2.8 ?� = 2.8 ?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71 John, a restaurant owner, suspects that prices of tomatoes in Bury are lower than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £18.2 with standard deviation £0.77. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £19.98. ?0�0: ?� = 18.2 ?� ≠ 19.98 ?� > 18.2 ?� < 18.2 ?� ≠ 18.2 ?� = 19.98 ?1�1: ?� > 18.2 ?� = 18.2 ?� < 18.2 ?� ≠ 19.98 ?� = 19.98 ?� ≠ 18.2
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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- A chip manufacturer purchases silicon wafers (discs) which are used to build the circuits of certain microprocessors. The mean diameter of the wafers is supposed to be 2.8 centimetres with a standard deviation of 0.15 cm. If the wafer is too small or too large, it will damage the equipment used to manufacture microchips.The manufacturer measures the diameter in a sample of 14 wafers to establish if the mean diameter significantly departs from the required size. The sample produced an average diameter of 2.71 cm.
- ?0�0:
?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71 ?� = 2.8 ?� ≠ 2.8 - ?1�1:
?� ≠ 2.8 ?� = 2.8 ?� > 2.8 ?� < 2.8 ?� ≠ 2.71 ?� = 2.71
- ?0�0:
- John, a restaurant owner, suspects that prices of tomatoes in Bury are lower than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £18.2 with standard deviation £0.77. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £19.98.
- ?0�0:
?� = 18.2 ?� ≠ 19.98 ?� > 18.2 ?� < 18.2 ?� ≠ 18.2 ?� = 19.98 - ?1�1:
?� > 18.2 ?� = 18.2 ?� < 18.2 ?� ≠ 19.98 ?� = 19.98 ?� ≠ 18.2
- ?0�0:
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