The owner of a local golf course wants to estimate the difference between the av
ID: 3047007 • Letter: T
Question
The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He samples a group of men and women and then uses the sample statistics to calculate a 90% confidence interval of (-25.86, -10.55). This interval estimates the difference of (the average age of men - the average age of women). What can we conclude from this interval?
1) We are 90% confident that the average age of all men who play at the course is greater than the average age of all women.
2) There is no significant difference between the average age of men and women that play at the course at 90% confidence.
3) We do not have enough information to make a conclusion.
4) We are 90% confident that the average age of all women who play at the course is greater than the average age of men.
5) We are 90% confident that the difference between the two sample means falls within the interval.
It is believed that using a solid state drive (SSD) in a computer results in faster boot times when compared to a computer with a traditional hard disk (HDD). You sample a group of computers and use the sample statistics to calculate a 90% confidence interval of (-16.47, -6.6). This interval estimates the difference of (average boot time (HDD) - average boot time (SSD)). What can we conclude from this interval?
1) We are 90% confident that the average boot time of all computers with an HDD is greater than the average of all computers with an SSD.
2) We are 90% confident that the average boot time of all computers with an SSD is greater than the average of all computers with an HDD.
3) We are 90% confident that the difference between the two sample means falls within the interval.
4) There is no significant difference between the average boot time for a computer with an SSD drive and one with an HDD drive at 90% confidence.
5) We do not have enough information to make a conclusion.
Explanation / Answer
Answer - 1: We are 90% confident that the average age of all women who play at the course is greater than the average age of men.
Option D is correct.
Answer - 2: We are 90% confident that the average boot time of all computers with an SSD is greater than the average of all computers with an HDD.
Option B is correct.
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