Which is the same as moving the decimal point 3 places to the left in a decimal

e chairman of the statistics department in a certain college believes that 70% of the department’s graduate assistantships are g

8_murik_8 [283]

Answer:

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.7, n = 50$

So

$\mu = 0.7, \sigma = \sqrt{\frac{0.7*0.3}{50}} = 0.0648$

What is the probability that the sample proportion will NOT be between 0.60 and 0.73?

This is 1 subtracted by the probability that it is between 0.6 and 0.73.

Probability it is between 0.6 and 0.73

pvalue of Z when X = 0.73 subtracted by the pvalue of Z when X = 0.6. So

X = 0.73

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.73 - 0.7}{0.0648}$

$Z = 0.46$

$Z = 0.46$ has a pvalue of 0.6772

X = 0.6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.6 - 0.7}{0.0648}$

$Z = -1.54$

$Z = -1.54$ has a pvalue of 0.0618

0.6772 - 0.0618 = 0.6154

NOT be between 0.60 and 0.73?

1 - 0.6154 = 0.3846

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

5 0

4 years ago

Round 37.8 to the nearest whole number.

STALIN [3.7K]

Any decimal lower that .5 is rounded down, and anything .5 or higher is rounded up, so the answer would be 38.

3 0

4 years ago

Read 2 more answers

Answer to number 8? I and wondering the probability

Yuri [45]

The quantity you want is the area under the standard normal curve (with mean 100 and std dev 15) between 110 and 120.

According to my TI-83 calculator,

normalcdf(110,120, 100, 15) = 0.16, or 16%.

5 0

3 years ago

What is the measure of an interior angle of a regular polygon iwth 15 sides

KiRa [710]

To find the measure of an interior angle of any regular polygon, we use the formula:

180 * (n-2) / n,

where n is the number of sides in the regular polygon.

Therefore, if there are 15 sides in the regular polygon, your answer would be

180 * (15-2) / 15,

or when simplified,

180 * 13 / 15

2340 / 15

156 degrees.

Thus, the measure of an interior angle of a regular polygon with 15 sides is 156 degrees.

3 0

4 years ago

Please help me with this

postnew [5]

Area of a regular polygon = 1/2 x apothem x perimeter

We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.

Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5 $\sqrt{3}$ x 60
=30 x 5 $\sqrt{3}$
= 30 x 5 x 1.73205080757
= 150 x 1.73205080757
= 259.807621135

To the nearest tenth of a cm, the area of the polygon is 260 cm squared

3 0

4 years ago