Mathematics, 06.05.2020 08:36 sierra6816

A psychological study found that men who were distance runners lived, on average, five years longer than those who were not distance runners. The study was conducted using a random sample of 50 men who were distance runners and an independent random sample of 30 men who were not distance runners. The men who were distance runners lived to be 84.2 years old, on average, with a standard deviation of 10.2 years. The men who were not distance runners lived to be 79.2 years old, on average, with a standard deviation of 6.8 years.

Answers: 1

Show answers

Answers

1. There is not enough evidence to support the claim that men who were distance runners lived, on average, five years longer than those who were not distance runners.

2. The test statistic is t.

Step-by-step explanation:

The question is incomplete:

Test the claim that men who were distance runners lived, on average, five years longer than those who were not distance runners.Which of the following is the test statistic for the appropriate test to determine if men who are distance runners live significantly longer, on average, than men who are not distance runners?

The test statistic is t, as this is a t-test for the difference of means.

The claim is that men who were distance runners lived, on average, five years longer than those who were not distance runners.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=5\\\\H_a:\mu_1-\mu_2> 5

The significance level is 0.05.

The sample 1, of size n1=50 has a mean of 84.2 and a standard deviation of 10.2.

The sample 1, of size n1=30 has a mean of 79.2 and a standard deviation of 6.8.

The difference between sample means is Md=5.

M_d=M_1-M_2=84.2-79.2=5

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

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{10.2^2}{50}+\dfrac{6.8^2}{30}}\\\\\\s_{M_d}=\sqrt{2.081+1.541}=\sqrt{3.622}=1.903$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{5-5}{1.903}=\dfrac{0}{1.903}=0$

The degrees of freedom for this test are:

df=n_1+n_2-1=50+30-2=78

This test is a right-tailed test, with 78 degrees of freedom and t=0, so the P-value for this test is calculated as (using a t-table):

P-value=P(t0)=0.5

As the P-value (0.5) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that men who were distance runners lived, on average, five years longer than those who were not distance runners.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:10, pampam49

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system? a. there are infinitely many solutions. b. there is no solution. c. there is exactly one solution. d. the lines in a system cannot be parallel.

Answers: 2

continue

Mathematics, 21.06.2019 16:00, mildred3645

What expression is equivalent to 1/2(2+3x-6)

Answers: 2

continue

Mathematics, 21.06.2019 19:30, unknown337

Complete the synthetic division problem below. what is the quotient in polynomial form 2/16 -16

Answers: 3

continue

Mathematics, 21.06.2019 22:00, KindaSmartPersonn

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1

Answers: 2

continue

You know the right answer?

A psychological study found that men who were distance runners lived, on average, five years longer...