Use the same data as in problem 1 except that the standard deviation of the entire population is known to be 1.2 MPa. a) What is two-sided 95% confidence interval for the average strength? b) Is it plausible that the average strength is larger than 6.0 MPa? (Use a level of significance of 5%.)
Use the same data as in problem 1 except that the standard deviation of the entire population is known to be 1.2 MPa. a) What is two-sided 95% confidence interval for the average strength? b) Is it plausible that the average strength is larger than 6.0 MPa? (Use a level of significance of 5%.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Sample Analysis of Rock Strengths**
In an experimental study, a sample of 100 point load tests, assumed to be roughly normally distributed, was conducted to measure rock strengths. The results yielded:
- Mean rock strength = 6.5 MPa
- Standard deviation of the samples = 1.28 MPa
**Tasks:**
a) **Confidence Interval Calculation**: Determine the two-sided 95% confidence interval for the average rock strength.
b) **Hypothesis Testing**: Assess the plausibility that the average strength is less than 6.7 MPa, using a significance level of 5%.
This analysis provides insight into the statistical reliability and potential hypotheses regarding rock strength based on the sample data.
Transcribed Image Text:Use the same data as in problem 1 except that the standard deviation of the entire population is known to be 1.2 MPa.
a) What is the two-sided 95% confidence interval for the average strength?
b) Is it plausible that the average strength is larger than 6.0 MPa? (Use a level of significance of 5%.)
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