An Experiment Was Performed on a Certain Metal to Determine

question 85

Essay

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is

= 1 + 1X.The time is in minutes,the strength is measured in pounds per square inch,MSE = 0.5,
= 30,and
= 104.Determine the 95 percent confidence interval for the average strength of a metal sheet when the average heating time is 2.5 minutes.

---

Definitions:

Significance Level

The threshold below which an observed result is considered statistically significant, usually denoted by alpha.

Sample Data

Data collected from a portion of a larger population, used to make inferences about the whole population.

P-Value

The p-value is a measure in statistical hypothesis testing representing the probability of obtaining a result at least as extreme as the observed one, assuming the null hypothesis is true.

Hypothesized Mean Difference

The presumed difference between the means of two populations or conditions being compared in a statistical hypothesis test.