A random sample of sizen= 36 is taken from a population with mean= 6.8 and standard deviation= 3. UseTable 1.

a.Calculate the expected value and the standard error for the sampling distribution of the sample mean.(Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.)

Expected valueStandard error

b.What is the probability that the sample mean is less than 7?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

Probability

c.What is the probability that the sample mean falls between 7 and 6?(Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)

Probability