What is the probability that the shipment will be accepted

Reference no: EM13177723

A shipment of steel bars will be accepted if the mean breaking strength of a random sample of 6 steel bars is greater than 245 pounds per square inch. In the past, the breaking strength of such bars has had a mean of 236 and a variance of 408. (Round your answers to four decimal places.)

(a) Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?

(b) What is the probability that the shipment will be accepted?

Reference no: EM13177723

Questions Cloud

Find the firm''s optimal quantity-price and profit : Find the firm's optimal quantity, price, and profit (1) by using the profit and marginal profit equations and (2) by setting MR equal to MC. Also provide a graph of MR and MC. b) Suppose instead that the firm can sell any and all of its output at ..

Describe the shape of this sampling distribution : What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)

Probability that one randomly selected pair of batteries : A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted.

What have you won if the rate of discount is 5 percent : A. if the rate discount is 20 percent, A. would you rather receive $ 100 today or $ 120 in one year ? B. would you rather receive $ 205 today or $ 240 in one year ? C. would you rather receive $ 500 in one year ?

What is the probability that the shipment will be accepted : Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?

Use the distance formula : Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).

Explain effect of the tanf program on work incentives : Suppose a single parent can work up to 16 hours per day at a wage rate of $10.00 per hour. Various income maintenance programs have been developed to assure a minimum level of income for low-income families, such as Aid to Families with Dependent ..

Determine what is this year rate of inflation : If the CPI was 120 last year and is 132 this year, what is this year's rate of inflation? Instructions: Round your answer to two decimal places. In contrast, suppose that the CPI was 120 last year and is 118 this year. What is this year's rate of inf..

Find nominal gdp price index : The following table shows nominal GDP and an appropriate price index for a group of selected years. Compute real GDP, and indicate in each calculation whether you are inflating or deflating the nominal GDP data.

User Account

All Pages