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ivolga24 [154]
3 years ago
12

Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college. You survey 10

of your friends and find that the average weight gain the first year was 16.2 lbs (s.d. = 2.6). How does weight gain among your friends compare to the national average? Please round to three decimal places. Compute the test statistic.
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer: 1.460

Step-by-step explanation:

Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.

Let \mu represents the population mean .

Then, the set of hypothesis will be:-

H_0: \mu=15

H_a:\mu\neq15

We assume that this is normal distribution.

Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.

Sample mean : \overliene{x}=16.2\ lbs

Standard deviation : \sigma=2.6

The test statistic for population mean for small sample is given by :-

t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

t=\dfrac{16.2-15}{\dfrac{2.6}{\sqrt{10}}}=1.45951276623\approx1.460

Hence , the value of test statistic = 1.460

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Aaliyah wants to determine how age and gender are related to movie genre preference in her town. She selects a simple random sam
-Dominant- [34]

Answer:

The correct option is;

E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender

Step-by-step explanation:

The question states that Aaliyah randomly selects the following;

First sample

Sample gender = Males

Sample size = 35

Age bracket of sample = 20 to 30 years

Second sample

Sample gender = Females

Sample size = 45

Age bracket of sample = 45 to 55 years

The plan is to determine how age and gender are related to movie genre preference

Appropriate sample distribution to determine movie genre preference is as follows;

Gender = Male

Age bracket = 20 to 55 years

Gender = Female

Age bracket = 20 to 55 years

Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

6 0
4 years ago
For each ordered pair, determine whether it is a solution to y=-5x+2.
Sedbober [7]

There are two ways to do this.

The first is you plug in the x-value from the point in the table and see if that gives you the y-value from the same point.

For example, your first point is (5,49), so plug in x=5:

   y = -5(5)+2 = -25+2 = -23

Since that's not the y-value in (5,49), then (5,49) is not a solution for the equation.

The other option is you plug in both the x-value and the y-value to see if you get a true statement.  (A solution will make the equaiton a true statement.)

For example, the first point is (5,49), so you'd plug in x=5 and y=49:

    49 = -5(5)+2

    49 = -25 + 2

    49 = -23

Since that's not true, (5,49) is not a solution.

You'll notice you're basically doing the same thing, it's just whether you plug in one value or both and that's your choice.

8 0
3 years ago
2/23 yards= how many feet?
kykrilka [37]
A yard is three feet 
If this is two-twenty thirds of a yard
that is 0.26 feet

Hope this helps :)
4 0
4 years ago
Which graph shows this proportional relationship iready
shtirl [24]

Answer:

i don't see a graph???

Step-by-step explanation:

5 0
3 years ago
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The
Rzqust [24]

Answer:

17 feets 3 inches

Step-by-step explanation:

Given :

Converting the parameters to inches only:

Recall:

1 feets = 12 inches

Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches

Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches

Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches

(Tree's height / tree's shadow) = (man's height / man's shadow)

Let tree's height = x

x / 126 = 69 / 42

Solve for x

42x = 126 * 69

42x = 8694

x = 8694 / 42

x = 207 inches

207 / 12 = 17 feets 3 inches

8 0
3 years ago
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