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butalik [34]
3 years ago
13

Suppose a 95% confidence interval for μ has been constructed. If it is decided to take a larger sample and to decrease the confi

dence level of the interval, then the resulting interval width would ________. (Assume that the sample statistics gathered would not change very much for the new sample.) A) be larger than the current interval width. B) be narrower than the current interval width. C) be the same as the current interval width.D) be unknown until actual sample sizes and reliability levels were determined.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

B) be narrower than the current interval width

Step-by-step explanation:

Given that a 95% confidence interval for μ has been constructed.

This confidence interval would depend on the margin of error which in turn depends on the standard error and sample size.

Margin of error = Critical value *std dev/ sqrt of sample size n

Hence when sample size increases, n increases so square root of n increases, which in turn decreases the margin of error.

So confidence interval would become narrower.

B) be narrower than the current interval width

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Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
Anuta_ua [19.1K]

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
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Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

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3 years ago
Find two consecutive odd integers if twice the larger, increased by the smaller equals 37,
Alexxx [7]

Answer:

11 and 13

Step-by-step explanation:

the first (smaller) odd integer can be called x

the second (larger) odd integer can be called x+2

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<em>[simplify . . .]</em>

2x+4+x = 37

3x+4 = 37

<em>[subtract 4 from each side]</em>

3x = 33

<em>[divide each side by 3; find smaller odd integer]</em>

x = 11

<em>[add 2 to find larger odd integer]</em>

x+2 = 13

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Helen [10]

Answer:

reeg

Step-by-step explanation:

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3 years ago
Express in Slope-Intercept Form
sweet-ann [11.9K]

Answer:

y = (3/4)x + 2

Step-by-step explanation:

Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).

Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.

Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.

For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4

Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2

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