Solving proportions 6 over 2 = 4 over p

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col

Alinara [238K]

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

$n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\$

For sample 2:

$n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\$

Calculating the null and alternative hypotheses:

$H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1$

Calculating the test statistic:

$Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693$

Calculating the conservative degrees of freedom:

$DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24$

by using Excel the p-value for left tailed test and for test statistic will be $-1.693$ with $DF = 24$ .

$\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}$

5 0

3 years ago

Solve for kkk.

Likurg_2 [28]

Answer:

$k=\frac{3}{2}$

Step-by-step explanation:

Given:

$\frac{k}{4}=\frac{3}{8}$

To find: value of $k$

Solution:

Cross-multiplying is a method in which the numerator of each (or one) side is multiplied by the denominator of the other side.

$\frac{k}{4}=\frac{3}{8}$

On cross-multiplication, the equation becomes $k\times 8=4\times 3$

$8k=12$

Divides both sides by 8

$\frac{8k}{8}=\frac{12}{8}\\k=\frac{12}{8}=\frac{3}{2}$

5 0

3 years ago

Read 2 more answers

What is the value of c in the function x^2-7x+c to make it a perfect square trinomial?

evablogger [386]

Answer:

c = 49/4

Step-by-step explanation:

The given expression is x^2 - 7x + c

This trinomial must be a perfect square.

Therefore, c must be a prefect square number.

So b^2 - 4ac = 0. That is discriminant must be equal to zero.

In the given expression a =1 and b = -7

Now plug in these values in the discriminant formula.

(-7)^2 - 4*1*c = 0

49 -4c = 0

4c = 49

c = 49/4

x^2 - 7x + 49/4 = (x - 7/2)^2

which is perfect square trinomial.

Thank you.

5 0

3 years ago

If every day I make 2 dollars and every time I reach 50 dollars it adds 25 cents to my daily income how many days will it take f

Vsevolod [243]

9514 1404 393

Answer:

659

Step-by-step explanation:

We assume the daily rate increases at each multiple of $50. When the balance reaches $50 on day 25, the pay on day 26 is $2.25.

Similarly, when the balance reaches 9628.75 on day 658, the pay will be $50 on day 659.

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I found this easiest to solve using a computer program. A spreadsheet can do it by computing the number of days between raises. This is shown in the attachment.

3 0

3 years ago

Simplify. (8x + 5) + (4x2 - 2x - 6) A. 4x2 + 6x - 1 B. 4x2 + 10x + 1 C. 4x2 + 10x - 11 D. 4x2 + 6x + 11

Phoenix [80]

The right ans is A.hope it will help u.........

8 0

4 years ago