Describe sampling distribution of sample mean

Assignment Help Basic Statistics

Reference no: EM1394746

Strater, Inc. makes particleboard for the building industry. Particleboard is made by mixing wood chips and resins together, forming the mix into 4 foot by 8 foot sheets, and pressing the sheets under extreme heat and pressure to form a sheet that is used as a substitute for plywood. The strength of the particleboard is tied to the board's weight. Boards that are too light are brittle and do not meet the quality standard for strength. Boards that are too heavy are strong but are difficult for the customers to work with. The company knows that there will be variation in the boards' weight. Product specifications call for the weight per sheet to average 10 pounds with a standard deviation of 1.75 pounds. During each shift, Strater employees select and weigh a random sample of 25 boards. The boards are thought to have a normally distributed weight distribution.

If the average of the sample slips below 9.60 pounds, and adjustment is made to the process to add more moisture and resin to increase the weight (and hopefully the strength).

1. Assuming that the process is operating correctly according to specifications, what is the probability that a sample will indicate that an adjustment is needed?

2. Assume the population mean weight per sheet slips to 9 pounds. Determine the probability that the sample will indicate that an adjustment is not needed.

3. Assuming that 10 pounds is the mean weight, what should the cutoff be if the company wants no more than 5% chance that a sample of 25 boards will have an average weight less than 9.6 lbs?

Reference no: EM1394746

Questions Cloud

What is the potassium concentration of a solution : What is the potassium concentration of a solution formed by combining 50.0 mL of 0.400 M KCl with 50.0 mL of: a) 0.100 M PdCl6, b) 0.800 M PdCl6 , c) water, d) 0.200 M PdCl6 (If The Ksp for K2PdCl6 = 6 x 10^-10)

Dependent-independent samples : A group of sheep, infested with tapeworms, are randomly divided into two groups as follows. Each sheep is assigned a number (1 through 20) and then 10 numbers

Compute the pressure of hydrogen gas : What volume of 0.200M Hydrochloric acid must combined to 250mL of 0.300M C8H7NaO3 to produce a buffer of solution with a pH of 3.37?

Benefit of transforming data from the distribution : When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?

Describe sampling distribution of sample mean : Assuming that the process is operating correctly according to specifications, what is the probability that a sample will indicate that an adjustment is needed?

Determine the products of a complete tca cycle : A three-carbon molecule is produced from glycolysis undergoes changes before it enters the TCA cycle. What are those changes? Also Name the carrier molecule that escorts the product to the enzyme citrate synthase in the TCA.

What is the ph change of citric acid : A 100.0 mL sample of 0.10 M NH3 is titrated with 0.10 M HNO3. Compute the pH of the solution before the addition of any HNO3. Kb of NH3 =1.8 × 10-5.

Determining distribution of proportion : A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 10% of all applications were from minority members, and exactly 8% of the 900 open positions were filled by members o..

Range for the coefficient of determination : How do we use a least squares regression line? What is the range for the coefficient of determination?

User Account

All Pages