Answer:
Step-by-step explanation:
Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0
1 answer:
Answer: The required system of equations representing the given situation is
Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.
We are to write a system to represent the situation.
Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.
According to the given information,
with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.
So, the equation representing this situation is
Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.
So, the equation representing this situation is
Thus, the required system of equations representing the given situation is
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Answer:
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:
<em>The question is incomplete:</em>
- <em>Test the claim that men who were distance runners lived, on average, five years longer than those who were not distance runners.</em>
- <em>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?</em>
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.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
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):
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.