Law of Large Numbers A certain professional basket-ball player typically makes 80% of his basket attempts, which is considered to be good. Suppose you go to several games at which this player plays. Sometimes the player attempts only a few baskets, say, 10. Other times, he attempts about 60. On which of those nights is the player most likely to have a “bad” night, in which he makes much fewer than 80% of his baskets?
Law of Large Numbers A certain professional basket-ball player typically makes 80% of his basket attempts, which is considered to be good. Suppose you go to several games at which this player plays. Sometimes the player attempts only a few baskets, say, 10. Other times, he attempts about 60. On which of those nights is the player most likely to have a “bad” night, in which he makes much fewer than 80% of his baskets?
Solution Summary: The author explains that a professional basketball player typically makes 80% of his basket attempts, which is considered to be good. However, the proportion of making attempts may vary depending on the sample size.
Law of Large Numbers A certain professional basket-ball player typically makes 80% of his basket attempts, which is considered to be good. Suppose you go to several games at which this player plays. Sometimes the player attempts only a few baskets, say, 10. Other times, he attempts about 60. On which of those nights is the player most likely to have a “bad” night, in which he makes much fewer than 80% of his baskets?
Question 2
The data below provides the battery life of thirty eight (38) motorcycle batteries.
100 83 83 105 110 81 114
99 101 105 78 115 74 96
106
89
94 81 106 91 93 86
79 103 94 108 113 100
117 120
77 93
93 85 76
89 78 88
680
a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of
significance.
b. Determine if the mean battery life is different from 80. Use the 10% level of
significance. Show all steps for the hypothesis test
c. Would your conlcusion in part (b) change at the 5% level of significance? |
d. Confirm test results in part (b) using JASP. Note: All JASP input files and output
tables should be provided
Suppose that 80% of athletes at a certain college graduate. You randomly select eight athletes. What’s the chance that at most 7 of them graduate?
Suppose that you flip a fair coin four times. What’s the chance of getting at least one head?
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