Homework: Homework 6 Score: 0.75 of 1 pt MN Score: 37.5%, 2.25 of 6 pts 7.2.1 Gi

Question

Homework: Homework 6 Score: 0.75 of 1 pt MN Score: 37.5%, 2.25 of 6 pts 7.2.1 Given a normal distrbution wit, . 104 and .15.and given you seled a sample of~.9. te 6a)tho ld) What is the probablity hat Xin less han 927 Type an inbeger or decimal rounded to four decimal places as needed) b. What is the probability that is between 92 and 94 5 Type an integer or decimal rounded to four decimal places as needed e. What is the probabilitny har X is above 108 87 Tyee an integer or decimal rounded to four decimal places as needed) Type an integer or decimal rounded to two decimal placesas needed Enter your answer ite answer bo·ard then cick Check Answer

Explanation / Answer

P(X bar > x) = 0.8

Or, P((X bar - mean) /(sd/sqrt (n)) > (x - 104)/(15/sqrt(9))) =0.8

Or, 1 - P(Z < (x - 104)/5) = 0.8

Or, P(Z < (x-104)/5) = 0.2

Or, (x - 104)/5 = - 0.84

Or, x = 104 - 0.84 * 5 = 98.8

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