170 Are Humans Like Random Number Generators? (Example 30) One of the authors collected data from a class to see whether humans made selections randomly, as a random number generator would. Each of 38 students had to pick an integer from one to five. The data are summarized in the table.
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- A electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $241, laptops sold for $505, cell phones sold for $437, and DVR sold for $1,564. City 1 City 2 City 3 Tablets 4444 5757 3939 Laptop Computers 6464 7777 6868 Cell Phones 3131 5353 6969 Personal DVR 3030 7676 5454 City 1's total sales : City 2's total sales : City 3's total sales :An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 7.8% rate of defects, the Company B ELTs have a 6.3% rate of defects and the Company C ELTs have 6.4% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A? Give your answer to three decimal places.A purchaser of alarm clocks buys them in lots of size 10. It is his policy to inspect 3 clocks randomlyfrom a lot and to accept the lot only if all 3 are nondefective. If 30 percent of the lots have 4 defectiveclocks and 70 percent have only 1, what proportion of lots does the purchaser reject?
- A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?