need answer in 1 hour

1. The time spent commuting from home to work for all employees of a very large company has a normal distribution with a mean of 42 minutes and a standard deviation of 12 minutes. The probability that the mean time spent commuting from home to work by a sample of 16 employees of this company will be between 43.26 and 49.35 minutes is?

Provide all probability statement, conversion formula, show work & final answer (4 decimal places)

1. A random sample of 100 customers, who visited a department store, spent an average of $77 at this store with a standard deviation of $19. Find 97% confidence interval for pop mean. What is value of the margin of error?

Provide all formulas, show all work and label final answers (round only final answer & put as 2 decimal places).

1. *The value of t for 14 degrees of freedom and a 0.05 area in the left tail is:

• 1.761
• -1.761
• 2.977
• -2.977