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jayc36809
19.05.2021 •
Mathematics
In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below. Suppose that the psychologist decides to construct a 99% confidence interval for the difference in mean comfortable room temperatures instead of proceeding with a test of hypothesis. The 99% confidence interval turns out to be (-2.9, 3.1). Select the correct statement.
Sample Mean Sample Variance
Adults 77.5 4.5
Children 74.5 2.5
a) It cannot be concluded at the 99% confidence level that there is actually a difference between the true mean comfortable room temperatures for the two groups.
b) It can be concluded at the 99% confidence level that the true mean room temperature for adults exceeds that for children.
c) It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults.
d) The probability that the true mean difference in comfortable room temperature is between -2.9 and 3.1 is equal to 0.99.
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Ответ:
a) It cannot be concluded at the 99% confidence level that there is actually a difference between the true mean comfortable room temperatures for the two groups.
Step-by-step explanation:
Ответ:
L=3w-35
By inputting this into the equation to find the perimeter we get:
2(3w-35)+2w=190
Distribute
6w-70+2w=190
Add like terms
8w=260
Divide both sides by 8
w=32.5
The width is 32.5cm
To find the length input w into the equation for length
L=3(32.5)-35
L=97.5-35
L=62.5
The length is 62.5cm
Check that the solution is correct by inputting the solutions to the perimeter equation
2L+2w=190
2(62.5)+2(32.5)=190
125+65=190
190=190
I hope this helps :)