A random sample of size 30 has a sample mean )7 = 23 from a population with standard deviation 0" = 6. (a) What is the value of c = 1 a? 0.99 v Construct a 1 a condence interval for M from the sample data. (Round your answers to two decimal places.) lower limit 20.18 'I upper limit 25.82 v What is the value of ,u given in the null hypothesis (i.e., what is k)? k = 20 v Is this value in the confidence interval? Do we reject or fail to reject H0 based on this information? We fail to reject the null hypothesis since ,u = 20 is not contained in this interval. We fail to reject the null hypothesis since u = 20 is contained in this interval. 0 We reject the null hypothesis since ,u = 20 is not contained in this interval. We reject the null hypothesis since ,u = 20 is contained in this interval. (b) Using methods of this chapter, find the P-value for the hypothesis test. (Round your answer to four decimal :.places.) ............ =