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3 years ago

Find the critical value z subscript alpha divided by 2zα/2 that corresponds to the given confidence level

1 answer:

5 0

To find the critical value $z_{\alpha/2}$ that corresponds to 97% confidence level:

Step 1:
Subtract 0.97 from 1:

1 - 0.97 = 0.03

Step 2:
Divide 0.03 by 2:

0.03 / 2 = 0.015

Step 3:
Subtract 0.03 from 1:

1 - 0.015 = 0.985

Step 4:
From the normal distribution table, the z score that corresponds to a probability of 0.985 is 2.17.

Therefore, the critical value that corresponds to 97% confidence level is 2.17.

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kobusy [5.1K]

10 2/3 is your question is simplest form.

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How many minutes after the start of the race will Corinne catch Aretha ?

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Answer: 140

Step-by-step explanation: try 140

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3 years ago

Please help and show work!!

telo118 [61]

Let’s start by considering any 2 points falling on the line, the intercepts are the ones which come to my mind. Thus, the line 2x+3 will originally intersect the x- axis at (−32,0) and the y- axis at (0,3).

So, the basic insight is that on rotating the origin, the axes rotate. But the intercepts (their lengths) don’t change. The axis that is being intercepted will change, not the distance of intercepting points from the origin until our line is itself rotated. (Keep scribbling)

For the first case, we rotate the axes clockwise by a right angle. Now notice that the negative x-axis replaces the positive y-axis. So, our line now intercepts the negative x- axis at a distance 3 from the origin. Similarly, the negative y- axis replaces the negative x- axis. So, our line intersects the negative y- axis at distance 1.5 .

Therefore, the new intercepts are X(−3,0) and Y(0,−1.5). We can hence produce the new equation for our line in the slope- intercept form as

y=−x2−1.5 .

Similarly, you can imagine the other cases as axes rotation/replacement.

For 180∘, the equation would be y=2x−3 .

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3 years ago

Two different samples will be taken from the same population of test scores where the population mean and standard deviation are

Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

$\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}$

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

$\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]$

Width for n = 64:

$\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]$

Thus, the sample consisting of 64 data values would give a greater precision

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3 years ago

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HURRY PLZ!

timama [110]

Answer:

Step-by-step explanation:

$f^{-1}(x)$ means the inverse. The inverse is the function reflected over the y=x line. This means the values have been reversed. (x,y)-->(y,x). We are looking for a point that has reversed values from the table.

The table has (1.-5) so the inverse is (-5,1) or D.

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