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babymother [125]
3 years ago
13

A study on students drinking habits asks a random sample of 60 male UF students how many alcoholic beverages they have consumed

in the past week. The sample reveals an average of 5.84 alcoholic drinks, with a standard deviation of 4.98. Construct a 95% confidence interval for the true average number of alcoholic drinks all UF male students have in a one week period.
A. (4.78, 6.90)

B. (0, 15.60)

C.(4.58, 7.10)

D. (-3.92, 15.60)
Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

A. (4.78, 6.90)

Step-by-step explanation:

Using the following formulas the lower and upper limits of the Interval are calculated

Lower limit = mean - (standard deviation /√sample size)* Zr

Upper limit = mean + (standard deviation /√sample size)* Zr

Zr depends on confidence interval  and can be found in a z table

Zr for 90% = 1.645

then

Lower limit = 5.84 - (4.98 /√60)* 1.645 = 4.78

Upper limit = 5.84 + (4.98 /√60)* 1.645 = 6.90

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Finding area of shaded sectors.
tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

A=\frac{\theta}{360}*\pi r^2

Where

\theta  is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

\theta = 80

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0
2 years ago
What is the solution to the equation?
Otrada [13]

Answer:

The format of this equation is wrong

3 0
2 years ago
Hey! How do I write 0.29 (both 2 and 9 are recurring) as a fraction?
Montano1993 [528]
Hi there!

Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.

By doing this, we get the fraction 29/100.

Since there is no simplifying we can do for the fraction this is it's final form!

Your answer would be 0.29 = 29/100.
5 0
2 years ago
Hannah walked 0.75 of a mile between 7:35 am and 7:47 am. At what speed, in miles per hour, did she walk during this time interv
BARSIC [14]

0.75 miles in 12 minutes

0.75 * 5 miles in one hour

15 / 4 miles in an hour

she walked at 3.75 mph

this assumes she walks at the same pace for the whole time

please give brainliest

5 0
2 years ago
The distribution of blood cholesterol level in the
qaws [65]

Answer: A. Mean of sampling means =\mu=168\ Mg/dl

Standard deviation of sampling means =2.86\ mg/dl

B. The probability that your sample has mean less than  165 is 0.1492 .

Given : The distribution of blood cholesterol level in the

population of young men aged 20 to 34 years is close to normal with

mean \mu= 168 Mg/dl and standard deviation \sigma= 35 mg/dl.

Sample size : n= 150

Let \overline{x} sample mean values.

A. The mean and the  standard deviation of the distribution of the sampling means would be :

Mean of sampling means =\mu=168\ Mg/dl

Standard deviation of sampling means = \dfrac{\sigma}{\sqrt{n}}=\dfrac{35}{\sqrt{150}}

=\dfrac{35}{12.2474487}\\\\=2.85773803649\approx2.86\ mg/dl

The probability that your sample has mean less than  165 would be

P(\overline{x}

Hence , the probability that your sample has mean less than  165 is 0.1492 .

7 0
3 years ago
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