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blsea [12.9K]
3 years ago
11

Six star athletes had a contest to see who could run the furthest.The table below displays the data from their run

Mathematics
1 answer:
Leto [7]3 years ago
8 0
Is this your homework?

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Directions for questions 4 & 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz
GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender   Mean          Std. dev.     n

Female    2577.75      1916.29     67

Male        3809.42     2379.47     33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

M_d=M_1-M_2=2577.75-3809.42=-1231.67

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.96 \cdot 475.795=932.54

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

6 0
3 years ago
Which simplified expression represents the area of the parallelogram
Lerok [7]
Just multiply the sum of the numbers then divide
4 0
3 years ago
Solve the equation 3/y = 4/5
netineya [11]

Step-by-step explanation:

<u>Step 1:  Cross Multiply</u>

\frac{3}{y} = \frac{4}{5}

5(3) = 4(y)

15 = 4y

<u>Step 2:  Divide both sides by 4</u>

15 / 4 = 4y / 4

3.75 = y

Answer:  y = 3.75

4 0
3 years ago
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If the diameter of a circle changes from 5 cm to 15 cm, how will the circumference change? A) multiplies by 1 3 B) multiplies by
andreyandreev [35.5K]
The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)
5 0
3 years ago
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A man walks iinto a store with 25.50 and walks out with 5.25 how much did he spend?
san4es73 [151]
He spent exactly 20.25, so it's A.
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3 years ago
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