How do you solve this statistics question without using code? Find E(Xbar), Var(Xbar), and P[24.17 <= Xbar <= 24.82], approximately. What assumptions and/or theorems were necessary to justify the solution?

A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.

Pls answer and the denominator should not be <1

To test whether there is a significant difference in the mean weekly earnings between males and females (i.e., whether gender affects mean earnings), you regress weekly earnings on a constant and a binary variable, which takes on a value of 1 for females and is 0 otherwise. The results were (standard errors are in the parentheses): 7. 2 Ear 610.5 160.2Female, n 5000, R2 0.086 (9.4) (12.6) (a) Will you do a t or an F test? What is your conclusion? (b) Are these results evidence enough to argue that there is discrimination against females? Why or why not?

A cereal manufacture claims that the gross weight (including packaging) of a box of cereal weight is uniformly distributed between 11.5 oz and 14 oz. You gather 75 boxes and weigh them all together. Let S denote the total weight of 75 boxes of cereal. What is P(S< 930)? Please use the Z-table to provide the answer.

A researcher wants to see if there is a difference in APGAR scores of newborns depending on whether the mother smoked during pregnancy or not. She collects data and analyzes the results using SPSS. What is the correct way to report the results in APA style?   Question 23 options:   t(58) = 3.288, p>.05   t(58) = 3.288, p= .002   t(26.5) = 3.278, p<.05   t(26.5) =3.278, p=.003

From the following data of the daily wage of 500 workers of a factory find the number of workers : (a) whose wages are more than $ 370 but not more than $ 400. (b) whose wages are less than $ 370 but not less than $ 350. Wages not exceeding $ 300 =150 workers Wages not exceeding $ 350 = 180 workers Wages not exxceeding $ 400 = 240 workers Wages not exceeding $ 450 = 400 workers Wages not exceeding $ 500 = 500 workers