(a)
To explain is there statistically significant evidence of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims
(a)
Answer to Problem 20E
There is sufficient evidence to support the claim of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims
Explanation of Solution
Now, we will use the excel technology to find output by first selecting the data and then going to the data analysis option and when the drop box appear select the t-test, thus, using the technology we will find the following output as:
It is given in output that:
Thus, we define the hypothesis by:
Thus, the value of the test statistics is as:
And the degrees of freedom is:
Thus, the P-value is as:
As we know that if the P-value is less than or equal to the significance level, then the null hypothesis is rejected as:
Thus, we conclude that there is sufficient evidence to support the claim of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims
(b)
To calculate and interpret the
(b)
Answer to Problem 20E
Explanation of Solution
Now, we will use the excel technology to find output by first selecting the data and then going to the data analysis option and when the drop box appear select the t-test, thus, using the technology we will find the following output as:
It is given in output that:
The degrees of freedom is the
The critical t -value can be found in table B in the row of
Thus, the confidence interval is as:
We are
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