(a)
To calculate: The population mean,
(a)
Answer to Problem 19E
The population mean,
Explanation of Solution
Given information:The data is shown below in table.
Date | Temperature |
July 21 | 69 |
July 22 | 75 |
July 23 | 79 |
July 24 | 83 |
July 24 | 71 |
Formula used:
Calculation:
The population mean,
(b)
To list: All samples of size,
(b)
Answer to Problem 19E
All
Explanation of Solution
Given information:The data is shown below in table.
Date | Temperature |
July 21 | 69 |
July 22 | 75 |
July 23 | 79 |
July 24 | 83 |
July 24 | 71 |
Calculation:
There are
Sample |
(c)
To compute:Sample mean of eachof the
(c)
Answer to Problem 19E
Sample means of eachof the
The mean,
The standard deviation,
Explanation of Solution
Given information:The data is shown below in table.
Date | Temperature |
July 21 | 69 |
July 22 | 75 |
July 23 | 79 |
July 24 | 83 |
July 24 | 71 |
Formula used:
Calculation:
The sample mean can be calculated by adding the two samples together and dividing by the sample size which is
Sample | Sample Mean, |
The mean,
(d)
To verify: The relationship between the population mean,
(d)
Answer to Problem 19E
Based on the calculated values, the relationships of
Explanation of Solution
Given information:The data is shown below in table.
Date | Temperature |
July 21 | 69 |
July 22 | 75 |
July 23 | 79 |
July 24 | 83 |
July 24 | 71 |
Calculation:
As per the calculations in part (a) and (c), the mean of the sample means,
Based on the calculations in part (a), the population standard deviation,
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