Q1: 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.
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 misses 1 day during a pay period?
Required:
1. Develop a 95% confidence interval for the population mean assume that the population distribution is normal Use a normal distribution curve to illustrate your answers.
2. Is it reasonable to conclude that the typical worker misses 1 day during a pay period?
Q2:
1. A recent study of 26 Toronto residents revealed they had lived at their current address for a mean of 9.3 years with a sample standard deviation of 2 years
a. What is the population mean?
b. What is the best estimate of the population mean.
c. What is the Standard error of the mean?
d. Develop a 90% confidence interval for the population means.
2. A recent provincial report indicated 27% of children ages 2 to 5 ate meat at least 5 times a week. How large a sample is necessary to estimate the true population proportion within 2% with a 98% level of confidence?
3. The Toronto Government wants to estimate the proportion of central city workers that use TTC to get to work. A sample of 100 workers revealed 64 workers used the TTC. Develop a 95% confidence interval. Use a normal distribution curve to illustrate your answers.