A random sample was taken of 27 concrete beams produced by a certain manufacturer. Each beam...

A random sample was taken of 27 concrete beams produced by a certain manufacturer. Each beam in the sample was weighed (in Kg) to assess whether the concrete content was up to industry standards.Sample mean=68.4, Standard Deviation=2.6.

Construct a 95% confidence interval for the true average weight of concrete beams coming from this manufacturer. Interpret this confidence interval in the form of a sentence.The manufacturer claims that their manufacturing process is calibrated to produce average beam weights that satisfy the industry requirement of (at least) 69.5Kg per beam.Test the validity of the manufacturer’s claim using the data collected. Summarise your findings in the form of a probability statement, and write your conclusions in a way that is understandable to a quality control officer.Assess the validity of the assumptions needed to carry out the calculations.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type 5.8 9.7 7.0 7.0 7.0 7.8 10.7 7.4 6.5 7.8 6.3 7.2 6.3 8.1 11.6 9.7 7.7 11.3 9.0 7.7 6.8 8.9 7.4 8.7 7.3 6.8 11.8 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. (b) Calculate a point estimate of the strength value that separates beams from the strongest 50% State which estimator you used. (c) Calculate...

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 11.3...

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 11.3 9.7 6.3 5.5 6.8 9.7 7.0 8.2 7.4 7.4 7.9 6.8 7.2 8.9 10.7 11.8 7.3 6.5 7.7 9.0 7.8 8.7 7.0 6.3 7.7 11.6 8.1 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 220.3.] (Round your answer to three decimal places.) MPa (b) Calculate a point...

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.9...

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.9 6.5 6.3 8.0 7.7 5.0 6.8 8.1 7.3 7.7 6.3 7.8 10.7 7.1 11.8 7.0 11.3 11.6 6.8 7.4 9.7 9.7 7.2 7.9 7.0 9.0 8.7 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 218.3.] (Round your answer to three decimal places.) _________MPa (b) Calculate a point...

The Accompanying data describe flexural strength (Mpa) for concrete beams of a certain type as shown...

The Accompanying data describe flexural strength (Mpa) for concrete beams of a certain type as shown in below. 9.2 9.7 8.8 10.7 8.4 8.7 10.7 6.9 8.2 8.3 7.3 9.1 7.8 8.0 8.6 7.8 7.5 8.0 7.3 8.9 10.0 8.8 8.7 12.6 12.3 12.8 11.7 6-b. Calculate and interpret a point estimate of the population standard deviation. 6-c. Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 11 Mpa 6-d. Calculate a point estimate of the population coefficient of variation.

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.4...

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.4 6.3 10.7 7.0 7.5 9.7 7.2 9.0 7.3 11.3 6.8 7.9 5.5 7.7 8.6 8.1 6.5 11.6 7.8 9.7 11.8 6.3 6.8 8.7 7.7 7.0 7.9 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 219.8.] (Round your answer to three decimal places.) MPa (b) Calculate a point...

q5. A random sample of 500 persons was taken in a certain area if test is...

q5. A random sample of 500 persons was taken in a certain area if test is positive for the covid-19. let 60 persons were found with positive test. obtain 98% confidence limit for the proportion of the covid 19 positive cases

A random sample of 11 observations taken from a population that is normally distributed produced a...

A random sample of 11 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, α=0.01. Use the t distribution table to find a range for the p-value. Round your answers for the values of t to three decimal places. a. H0: μ=46 versus H1: μ<46....

5) In a simple random sample of 59 electronic components produced by a certain method, the...

5) In a simple random sample of 59 electronic components produced by a certain method, the mean lifetime was 1,114 hours. Assume the component lifetimes are normally distributed with population standard deviation 55 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components? Round to nearest integer. 6) Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to...

. A bank has taken a random sample of 4 customers for each set of various...

. A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. (20 points) Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 ? = 5.75 ? = 8.25 ? = 7.00 Afternoon 3, 5, 6, 5...

Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can...

Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 167 shafts, find the approximate probability that between 30 and 54 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 167 shafts, find the approximate probability that at least 48 are nonconforming and can be reworked.

Subjects