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3 years ago

Can someone please help me answer this question.?

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Answer:

d=8.0 meters

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We are given the volume and the height

117.23 and the height 7

117.23 = 1/3 *3.14 *r^2 * 7

117.23 = 7.3266666666 *r^2

Divide each side by 7.3266666666

117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666

16.00045496 = r^2

Take the square root of each side

sqrt(16.00045496) =sqrt( r^2)

4.000 = r

We found the radius but it wants the diameter

d = 2*r

d =2*4.0

d=8.0 meters

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The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

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