You may use matlab or excel but please show me all the steps so Ican understand.

1. The mean water temperature downstream from a power plant cooling tower discharge pipe should he no more than 100 deg F. Past experience has indicated that the standard deviation is 2 deg F. The water temperature is measured 9 different days and the average is found to be 102 deg F. (a) Does the water temperature meet the criteria with 5% level of signicance? (in) What is the p-value? 2. For the hypothesis test Ho: it = 10 with Ha: u > 10 and N=20. f = 10.5 (a) Determine if it passes with o = l and u = 5% (b) Determine the pvalue (c) Determine if it passes with s =1 and or = 1% 3. Using seven samples of leg strength data, the sample mean and standard deviation were determined to be 315 and 16 watts respectively. (a) Does the mean leg strength exceed 320 watts with a signicance level of 0.05? (b) What is the pvalue range? 4. A set of data for strain range induced by vehicle loads on a bridge is given below. Perform a chi-squared test at the 1% signicance level to determine if a Rayleigh distribution ts f(x) = iexp (:2) where a = 5. 2 :1 Measured Strain Range lmicm-inJinJ M 4 52.7 41-1 41. | 44.5 I40"! 40.5 rt-m I I1: I I0.\" 52.0 4.1 U 34. I 1\". It'll h 00.] 33.5 64.7 It'll. I 41.8 M) 8 41 .1 5h .\\ 44.0 in 7 .N 5 M2 1A.] III.\" NH! I215 llllj lh'l