I need help with subtracting these
2 answers:
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Answer:
The 99% confidence interval for the scores of men is (64.406,75.594).
The 99% confidence interval for the scores of women is (73.609,90.391).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.797.
For men:
Standard deviation of 10.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406
The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594
The 99% confidence interval for the scores of men is (64.406,75.594).
For women:
Standard deviation of 15.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609
The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391
The 99% confidence interval for the scores of women is (73.609,90.391).
Answer:
The statement that is true is:
A debt of $17 is a larger value than a debt of $20.
Step-by-step explanation:
Let us look at the statements one after the other to determine if they are true or not:
1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$
2) One half an apple is equivalent to 8 fourths apples:
one half an apple =
8 fourths of an apple = . Therefore, one half of an apple is not equivalent to 8 fourth of an apple.
3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:
8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009
4) is a lower temperature than 6 below zero:
6 below zero = - 6°
On the number line, -6 is smaller than hence the statement is false.