Unknown to a quality assurance me tense strengthe im pounds

Unknown to a quality assurance me tense strengthe im pounds per square inch, psi) feral1 500 heavy-duty construction bolts in a recent shipment arc as listed in tile \\R04074. Because a bolt must be broken to measure its strength, the testing proccssis is destructive. The technician plans to collect a simple random sample of 20 bolls, then measure how much tension each one withstands before it breaks. Generate the simple random sample and compute its mean breaking strength. Assuming that the bolt manufacturer has advertised that, on average, such bolts will withstand 10.000 psi. refer to your sample result in commenting on the manufacturer\'s claim. (We will discuss the use of sample data in evaluating claims in much greater detail in Chapter 10. Hypothesis Testing.)

Solution

Generating the simple random sample.

To generate a random sample , we can use random numbers, excel or any statistical software.

step 1: first identify the distribution of the population. and then the parameters of the distribution. Here the population distribution is not specified., let us assume the sample is taken from the Normal population

step 2: Need to specify the mean and standard deviation of the normal population. Here the mean is 10,000 psi and standard deviation is not specified. let us assume standard deviaiton is 1.

step 3; The sample size should be specified. The sample size is 20. Generate 20 random numbers from the normal population using any statistical software .

The sample size for a normal population with mean 10,000 psi and standard deviation 1 psi is

10000.6
10000.0
10000.9
10001.2
9999.8
9997.7
10001.2
9998.2
9998.6
9997.7
9998.9
10001.2
9998.9
10000.4
10002.3
10000.0
9998.4
9998.9
9999.2
9999.8

Mean breaking strength = Total sum of observations /no. of observations = 199994.03/20= 9999.702