1) A biology professor reports that historically grades in her introductory biology course have
been distributed as follows: 15% A's, 30% B's, 40%TC's. 10% D's, and 5% F's. Grades in her
most recent course were distributed as follows:
Grade
B
D
Frequency 89 121 7825 12
A
c
F
Test an appropriate hypothesis to decide if the professor's most recent grade distribution
matches the historical distribution. Give statistical evidence to support your conclusion

Rose drew a regression line for this paired data set. her line passed through (1, 2) and (3, 5) . what is the equation of rose's regression line?

Over the last 8 nights, elyse earned the following in tips: {105, 120, 84, 95, 100, 132, 140}. if she earns $140 a night for the next four nights, which measure of center would increase more, the mean or median?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)