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Dahasolnce [82]

3 years ago

13

IQ scores for adults aged 20 to 34 years are normally distributed according to N (110,25). Use the empirical rule to answer the

following: Approximately what percent of people in this group have scores below 110?

1 answer:

xxTIMURxx [149]3 years ago

6 0

Since the mean of the distribution is 110, and the distribution is normal, then 50% of the the people will have scores below 110.

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C. The Tetrahhedron has 4 faces, all of which are triangles. It also has four vertices and six edges.

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A number cube is rolled 150 times. The number 3 comes up 43 times. What is the experimental probability of rolling 3? What is th

Vadim26 [7]

The experimental probability is computed to be 43/150 or approximately 28.67%. This is computed by dividing the event of number 3 showing by the total number of times the cube is rolled.
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3 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

3 years ago

What is the solution set for the open sentence with the given replacement set?

olganol [36]

Answer:

6

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2x + 7 = 19

-7 -7

2x = 12

12/2 = x

6 = x

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2 years ago

Explain the difference between equilateral and equiangular :)

mixas84 [53]

An equilateral polygon has congruent sides, like a rhombus.

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