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kland5460
20.09.2020 •
Mathematics
A Nielson survey estimated the mean number of hours of television viewing per household at 7.25 hours per day in 1997 (New York Daily News, November 2, 1997). Assume that the Nielson survey involved 200 households and that the sample standard deviation was 2.5 hours per day. Your father (who is a statistician) says that in 1987 the true population mean number of hours of television viewing per household was 6.7 hours. Being a statistician yourself, you want to test that the population mean number of hours of television viewing per household in 1997 is much greater than what your father says it was in 1987. Test your hypothesis using a 1% significance level
1). State the hypothesis: H0:
H1:
2). Test statistic:
3). Critical value for the test statistic:
4). Rejection Region (RR) diagram
Note: Show the test statistic and the critical values on this diagram.
5). Circle the correct response
Reject H0 in favor of H1/Do not reject H0
6). Conclusion
Solved
Show answers
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Ответ:
9 years older
Step-by-step explanation:
The ratio of their ages is 8 : 5 = 8x : 5x ( x is a multiplier )
In 30 years their ages will be 8x + 30 and 5x + 30 and the ratio 6 : 5 , so
5(8x + 30) = 6(5x + 30) ← distribute parenthesis on both sides
40x + 150 = 30x + 180 ( subtract 30x from both sides )
10x + 150 = 180 ( subtract 150 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Then
Michell is 8x = 8 × 3 = 24 years old
Connor is 5x = 5 × 3 = 15 years old
Mitchell is 24 - 15 = 9 years older than Connor