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serg [7]
3 years ago
10

In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychol

ogist 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.
Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

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:

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mario62 [17]
<h3>Answer:  73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

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Vinvika [58]

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Step-by-step explanation:

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