Question

Dottie Kleman is the "Cookie Lady." She bakes and sells cookies at 50 different locations. Ms. Kleman is concerned about absenteeism among her workers. The information below reports the number of days absent for a sample of 10 workers during the last two-week pay period.

4

1

2

2

1

2

2

1

0

3

The sample mean is calculated to be 1.8 and sample standard deviation is 1.1353. Develop a 95% confidence interval for the population mean. Assume that the population distribution is normal. Is it reasonable to conclude that the typical worker does not miss any days during a pay period?

Multiple Choice

• [0.99, 2.61] It is unreasonable to conclude that the mean number of days of work missed is 0 per employee.

• [0.99, 2.61] It is reasonable to conclude that the mean number of days of work missed is 0 per employee.

• [-0.99, -2.61] It is unreasonable to conclude that the mean number of days of work missed is 0 per employee.

• [-0.99, -2.61] It is reasonable to conclude that the mean number of days of work missed is 0 per employee.

Answer 1

The statistical software output for this problem is:

Hence,

95% confidence interval will be:

[0.99, 2.61]

It is unreasonable to conclude that the mean number of days of work missed is 0 per employee because 0 is not the part of interval.

Option A is correct.