Statistics- A Nissan Motor Corporation advertisement read

Hello, I was hoping you could help me with 2 introductory statistics questions, and I have a solution but need to know how to get to that solution:(1) In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80 hour week. Recently, many groups have been studying whether or not the women’s movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 81 women were surveyed with the following results. The sample mean was 83; the sample standard deviation was 10. Does it appear that the mean work week has increased for women at the 5% level?Solution below, but need an explanation of how worked:2.70.0042Decision: Reject Null(80.789,85.211)(2) A Nissan Motor Corporation advertisement read, “The average man’s I.Q. is 107. The average brown trout’s I.Q. is 4. So why can’t man catch brown trout?” Suppose you believe that the brown trout’s mean I.Q. is greater than 4. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows: 5; 4; 7; 3; 6; 4; 5; 3; 6; 3; 8; 5. Conduct a hypothesis test of your belief.Possible solution written below, however I am needing tutoring and explanation how to arrive at the answer:t111.960.0380Decision: reject null when a=0.05; do not reject null when a=0.01i. (3.8865, 5.9468)Thank you so much

 

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