the college board states that the average math sat score is 514 with a standard deviation of 117. colleen gathered data from 50 students in her graduating class and found the average score to be 523. she thinks that her class’s math sat score is different from the average. which of the following are the correct null hypothesis and alternate hypothesis?
a. h0 = 514; ha > 514
b. h0 ≠ 514; ha = 523
c. h0 = 514; ha ≠ 514
d. h0 = 514; ha = 523

Atype of plant is introduced into an ecosystem and quickly begins to take over. a scientist counts the number of plants after mmonths and develops the equation p(m)= 19.3(1.089)^m to model the situation. most recently, the scientist counted 138 plants.assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants werefirst introduced? a)o 6.1b)0.6.6c)10 72d)o 23.1

One positive integer is 2 less than another. the product of the two integers is 24. what are the integers

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)