Ozzy Osborne demands a jar of M&M's containing at least 63 blue M&M's be placed in his dressing room before every concert or he will loose his mind. The data below are the blue M&M counts from Ozzy's last several decades of concerts: 56, 71, 59, 62, 60, 58, 70, 70, 66, 57, 70, 73, 64, 73, 57, 74, 68, 70, 68, 65, 67, 64, 63, 69, 74, 66, 66, 71, 74, 70, 59, 62, 71, 64, 72, 66, 74, 59, 63, 69, 67, 60, 74, 64, 57, 56, 69, 74, 60, 60, 56, 71, 64, 75, 67, 75, 57, 62, 68, 70, 72, 71, 69, 56, 57, 62, 58, 60, 65, 62, 56, 60, 62, 60, 65, 70, 58, 58, 67, 59, 57, 69, 58, 69, 75, 64, 65, 64, 71, 74, 73, 74, 56, 62, 69, 74, 64, 71, 59, 72, 57, 57, 63, 71, 59, 64, 64, 66, 56, 64, 60, 71, 72, 56, 68, 73, 69, 61, 57, 70, 62, 74, 68, 74, 69, 73, 57, 74, 66, 63, 72, 56, 69, 55, 73, 70, 65, 70, 59, 61, 71, 73, 55, 59, 59, 65, 67, 62, 70, 65, 66, 69, 63, 73, 74, 60, 65, 74, 58, 75, 64, 65, 70, 64, 60, 56, 58, 62, 70, 62, 57, 57, 66, 69, 57, 58, 55, 58, 62, 74, 74, 58, 65, 65, 64, 66, 56, 65, 61, 75, 60, 68, 74, 60, 63, 72, 61, 73, 75, 61, 64, 69, 69, 57, 56, 74, 65, 63, 68, 75, 61, 69, 56, 74, 63, 74, 69, 65, 60, 58, 74, 67, 57, 58, 67, 71, 60, 72, 67, 55, 66, 72, 63, 57, 64, 64, 73, 69, 55, 64, 74, 73, 55, 70, 63, 64, 65, 64, 65, 62, 71, 62, 59, 71, 60, 64, 64, 73, 69, 57, 70, 66, 62, 74, 58, 56, 68, 60, 67, 72, 68, 65, 63, 66, 72, 56, 59, 61, 65, 69, 60, 59, 66, 70, 61, 64, 56, 63, 75, 68, 59, 63, 60, 60, 58, 70, 73, 56, 66, 75, 60, 68, 66, 64, 65, 60, 62, 56, 62, 74, 69, 73, 60, 59, 67, 74, 65, 67, 67, 72, 70, 62, 66, 62, 70, 63, 63, 69, 69, 67, 74, 71, 55, 56, 63, 60, 70, 68, 57, 60, 57, 70, 74, 72, 72, 64, 68, 67, 64, 61, 68, 63, 59, 74, 73, 58, 65, 69, 65, 66, 69, 64, 68, 67, 71, 65, 63, 58, 62, 70, 62, 72, 68, 62, 64, 68, 71, 57 a. Compute a 93.8% two sided confidence interval for the mean number of blue M&M's Ozzy gets per jar:

_lo

=

_hi

= b1. a 99.9% hypothesis test to see if the mean number of blue MM's is less than 63 (H0) or exceeds 63 (Ha). Report the p-value: b2. What is the level of significance for this test as a decimal (i.e. not a percentage!)? b3. Reject Null hypothesis at the 95% level of confidence?

FALSE or TRUE c. With respect to this sample, how many times did Ozzy loose his mind because he didn't get enough blue M&M's?