Which statement correctly compares the spreads of the distributions? Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
(in cm)
оо
O O O
O

35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
A. The mode of penguin heights at Cityview Zoo is greater than the
mode at Park Zoo.
B. The ranges of penguin heights are the same.
O C. The range of penguin heights is greater at Cityview Zoo than at
Park Zoo.
D. The range of penguin heights is greater at Park Zoo than at
Cityview Zoo

F(x) = 1/x g(x)=x-4 can you evaluate (g*f)(0) ? why or why not?

Describe the end behavior of the function below. f(x)=(2/3)^x-2 a. as x increases, f(x) approaches infinity. b. as x decreases, f(x) approaches 2. c. as x increases, f(x) approaches -2. d. as x decreases, f(x) approaches negative infinity.

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?