1. Find the probability of (i) PT(Z 2.56) and (iii) PT(|Z| > 2.56) where Z is from standard normal. I .0 .I 2 .3 1 A 5 '5 .7 3 .9 2. The mean of the yields in bushels per acre is known as 120 and a researcher believes that it is different. To test the claim, the researcher planted 10 plots with corn which has sample mean 122 and the variance is known to be 4. At a = 0.05, what is the conclusion? Assume the population is normally distributed. .9817 .9850 .9854 .9857 9842 .9846 .9821 .9826 9830 .9834 .9838 9887 9890 9878 9864 986 .9875 9881 9884 9871 9911 .9913 9916 9861 9906 9909 9898 9901 9904 9893 9896 9936 9927 9929 9931 9932 9934 9918 9920 9922 9925 9949 9951 .9952 9941 9943 9945 9946 9948 9938 9940 9960 9961 9962 9963 9964 9957 2.6 9953 9956 9959 9955 9970 .9972 9974 9971 9973 9968 9969 9965 9966 9967 9979 9980 9981 9978 9979 9974 9975 997 9977 9977 998 9986 9985 9986 9982 998 9983 9984 9984 2.9 9981 9989 9989 9990 9990 3.0 9987 9987 9988 9988 9989 9993 9987 9993 9991 9992 9992 9992 9992 3.1 9990 9991 .9991 9995 9994 9994 9995 9995 3.2 9993 9993 9994 9994 9994 9996 9997 .9996 9996 9996 9996 3.3 9995 9995 .9995 9996 9997 9997 9997 9998 9997 3.4 9997 9997 9997 9997 .9997 2. The mean of the yields in bushels per acre is known as 120 and a researcher believes that it is different. To test the claim, the researcher planted 10 plots with corn which has sample mean 122 and the variance is known to be 4. At a = 0.05, what is the conclusion? Assume the population is normally distributed. 3. Circle the right answer and if it is false, correct it. As significance level, a increases, (1 - a) 100% the confidence interval is getting narrower. TRUE or FALSE