The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean µ = 3.2 minutes and a standard deviation σ = 1.6 minutes. if a random sample of 64 customers is observed, find the probability that their mean time at the teller’s window is:
a. at most 2.7 minutes.
b. more than 3.5 minutes.
c. at least 3.2 minutes but less than 3.4 minutes

Abc factory produces 24,000 units. the cost sheet gives the following information: direct materials rs. 1,20,000direct labour rs. 84,000variable overheads rs. 48,000semi variable overheads rs. 28,000fixed overheads rs. 80,000total cost rs. 3,60,000presently the product is sold at rs. 20 per unit. the management proposes to increase the production by 3,000 units for sales in the foreign market . it is estimated that semi variable overheads will increase by rs. 1,000. but the product will be sold at rs. 14 per unit in the foreign market. however, no additional capital expenditure will be incurredq-1. what is present profit of the company ? q-2. what is proposed profit of the company in new market? q-3.what is suggestion for new makret proposal whether proposal accept or not

Which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04 (money. msn website, november 7, 2012). a sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal. a. develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home. b. using the sample from the 100 restaurants, what is the p-value? c. at a = .05, what is your conclusion? d. repeat the preceding hypothesis test using the critical value approach

In a fixed-term, level-payment reverse mortgage, sometimes called a reverse annuity mortgage, or ram, a lender agrees to pay the homeowner a monthly payment, or annuity, and expects to be repaid from the homeowner’s equity when he or she sells the home or obtains other financing to pay off the ram. consider a household that owns a $150,000 home free and clear of mortgage debt. the ram lender agrees to a $100,000 ram for 10 years at 6 percent. assume payments are made annually, at the beginning of each year to the homeowner. calculate the annual payment on the ram.