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2 years ago

A 98% confidence interval is found to be (32,46). What is the margin of error ?

Mathematics

1 answer:

solong [7]2 years ago

3 0

Using confidence interval concepts, it is found that the margin of error is of 7.

A confidence interval has the format (a,b).

The margin of error is half the difference between the two bounds, that is:

$M = \frac{b - a}{2}$

In this problem, the interval is (32, 46), hence $b = 46, a = 32$ , and the margin of error is:

$M = \frac{46 - 32}{2} = 7$

The margin of error is of 7.

A similar problem is given at brainly.com/question/25704940

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Given a mean of 150 and a standard deviation of 25:

pishuonlain [190]

We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.

So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.

In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data

Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data

From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.

Using these z scores, we can find the values which contain 75% of the values about the mean.

z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:

150 - 1.15(25) = 121.25

z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:

150 + 1.15(25) = 178.75

So, the interval from 121.25 to 178.75 contains the 75% of the data values.

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3 years ago

Find the measure of angle B.

lutik1710 [3]

Answer:

C) 120 degrees

Step-by-step explanation:

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45 + m<B + 15 = 180

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3 years ago

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emmasim [6.3K]

Answer:

5. y = 2x + 4

6. y = (-1/2)x - 2

Step-by-step explanation:

5. We want to find the slope-intercept form of this, which is y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Here, let's take two random points: (-2, 0) and (0, 4). Then we have:

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The slope is thus 2.

The y-intercept is where the line crosses the y-axis. We see it does so at the point (0, 4), so b = 4.

Our equation is thus: y = 2x + 4.

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m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -1/2

Now, look at the point (0, -2); that's where the line crosses the y-axis, so the y-intercept is b = -2.

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