Lindsay found a new job as an insurance salesperson. She has her choice of two different compensation plans. Plan F was described
to her as a $450 base weekly salary plus a 10% commission on the
amount of sales she made that week. The function f(x) represents
the amount Lindsay earns in a week when making sales of dollars
with compensation plan E Plan Gwas described to her with the
graph shown. The function g(x) represents the amount Lindsay earns
in a week when making sales of dollars with compensation plan G.
Write a rule for the functions f(x) and g(x); then identify and
compare their domain, range, slope, and y-intercept. Compare
the benefits and drawbacks of each compensation plan. Which
compensation plan should Lindsay take? Justify your answer.
Earnings ($)
1000
900
800
700
600
500
400
300
200
100
0
1000 2000 3000 4000 5000
Sales (5)
Rule for f(x)
Rule for g(x)
Compare
f(x)
Domain
Range
Slope
y-intercept
g(x)
Domain
Range
Slope
y-intercept

(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?