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Montano1993 [528]
3 years ago
5

The average triglyceride level of adult males is 126 milligrams per deciliter. You want to determine whether the true mean male

triglyceride level is more than the average. You decide to pull a random sample of eight adult males and measure their triglyceride level. You find the sample mean is 127.9 milligrams per deciliter and the standard deviation is 4.12 milligrams per deciliter. What are the test statistic and the p-value?

Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer: The test statistic is 1.30 and the p-value is 0.1167.

Step-by-step explanation:

A test statistic is a random variable which is calculated from sample data and also used in a hypothesis test. It can also be used to know whether to reject the null hypothesis.

The test statistic is 1.30 and the p-value is 0.1167. The solution is attached below

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Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.
vazorg [7]

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .  

To prove

Formula

Percentage\ error = \frac{error\times 100}{exact}

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters    

Actual value = 45.5 meters        

error = | 44.25 - 45.5 |

         = |-1.25|

         = 1.25

Put in the formula

Percentage\ error = \frac{1.25\times 100}{45.5}

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Percentage error = 2.7%

Therefore the percentage error is 2.7% .




3 0
3 years ago
Angle n and angle p are linear pairs, and angle n is 10 more than twice the measure of angle p. Determine the measure of angle p
frutty [35]

Answer:

p = 56.7°

n = 123.3°

Step-by-step explanation:

The sum of linear pair angles is 180° because, because a linear pair angles, are angles formed by two intersected lines and the angle of a straight line is 180°.

Then your first equation is:

n + p = 180°

The second equation can be formulated with the information given:

"angle n is 10 more than twice the measure of angle p."

n = 10 + 2p

Replacing in the first equation:

10 + 2p + p = 180°

3p = 170°

p = 56.7°

n = 123.3°

5 0
3 years ago
6000 for 6 years at 81/2 % compounded daily will grow to a) $9.990.02 b)9.060.00 c) 9788.81 d)9991.15
Flura [38]

Answer:

d)9991.15

Step-by-step explanation:

We have a sum of money ($6000) compounded daily at an annual interest rate of 8.5% for 6 years.

If the interest is compound daily, and we take a m=365 days a year (or 365 subperiods m), the daily nominal interest rate is:

i_d=\dfrac{i}{m}=\dfrac{0.085}{365}=0.000232877

Then, we can express the final valueo of $6000 compounded daily at an annual interest rate of 8.5% for 6 years as:

FV=IV\left(1+\dfrac{i}{m}\right)^{n\cdot m}\\\\\\FV=6000(1+0.000232877)^{6\cdot 365}\\\\FV=6000(1.000232877)^{2190}\\\\FV=6000\cdot1.665192322\\\\FV\approx9991.15

4 0
3 years ago
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