Question

The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.

Required:
Use appropriate symbols for the six numbers reported in this paragraph.

Answer 1

First sample size,
`n_(x)` = 20

Second sample size,
`n_(y)` = 20

Sample mean of first sample,
`\bar{x}` = 5.44

Sample mean of second sample,
`\bar{y}` = 3.49

Sample Standard deviation of first sample,
`\sigma_(x)` = 1.75

Sample Standard deviation of second sample,
`\sigma_(y)` = 1.13

Explanation:

Given - The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.

To find - Use appropriate symbols for the six numbers reported in this paragraph.

Proof -

First sample size,
`n_(x)` = 20

Second sample size,
`n_(y)` = 20

Sample mean of first sample,
`\bar{x}` = 5.44

Sample mean of second sample,
`\bar{y}` = 3.49

Sample Standard deviation of first sample,
`\sigma_(x)` = 1.75

Sample Standard deviation of second sample,
`\sigma_(y)` = 1.13