Question

In: Statistics and Probability

Previous experience has shown that the breaking strength of the fabric used in a certain brand...

Previous experience has shown that the breaking strength of the fabric used in a certain brand of drapes is normally distributed with a standard deviation of 2 pounds per square inch. A random sample of 9 specimens is examined to reveal an average breaking strength of x = 98 pounds per square inch. Determine the p−value required to test the hypothesis that the true mean is not 97.

Solutions

Expert Solution

Answer: p- Value = 0.1336

orchestra answered 2 years ago
Next > < Previous

Related Solutions

I need explanation for this problem: The breaking strength of a certain type of fabric has...
I need explanation for this problem: The breaking strength of a certain type of fabric has mean 1.86 and standard deviation .2. A random sample of 49 pieces of fabric is drawn. A- What is the probability that the sample mean breaking strength is less than 1.8? B- How large a sample size is needed so that the probability is .06 that the sample mean is less than 1.8? Ans for (A)= 0.02 Ans for (B)= 27
Data analysis of the breaking strength of a certain fabric shows that it is normally
Data analysis of the breaking strength of a certain fabric shows that it is normally distributed with a mean of 300 lb and a variance of 9. a. Estimate the percentage of fabric samples that will have a breaking strength no less than 294 lb. b. Estimate the percentage of fabric samples that will have a breaking strength no less than 297 lb and no greater than 303 lb.
The breaking strength X of a certain rivet used in a machine engine has a mean...
The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 400 psi. A random sample of 25 rivets is taken. Consider the distribution of ?̅, the sample mean breaking strength. (a) What is the probability that the sample mean falls between 4800 psi and 5200 psi? (b) What sample n would be necessary in order to have P(4950 < ?̅<5050) = 0.95 (0.99)?
In an experiment involving the breaking strength of a certain type of thread used in personal...
In an experiment involving the breaking strength of a certain type of thread used in personal flotation devices, one batch of thread was subjected to a heat treatment for 60 seconds and another batch was treated for 120 seconds. The breaking strengths (in N) of ten threads in each batch were measured. The results were 60 seconds: 43 52 52 58 49 52 41 52 56 58 120 seconds: 59 55 59 66 62 55 57 66 66 51 Let...
In an experiment involving the breaking strength of a certain type of thread used in personal...
In an experiment involving the breaking strength of a certain type of thread used in personal flotation devices, one batch of thread was subjected to a heat treatment for 60 seconds and another batch was treated for 120 seconds. The breaking strengths (in N) of ten threads in each batch were measured. The results were 60 seconds: 43 52 52 58 49 52 41 52 56 50 120 seconds: 59 55 59 66 62 55 57 66 66 51 Let...
In an experiment involving the breaking strength of a certain type of thread used in personal...
In an experiment involving the breaking strength of a certain type of thread used in personal flotation devices, one batch of thread was subjected to a heat treatment for 60 seconds and another batch was treated for 120 seconds. The breaking strengths (in N) of ten threads in each batch were measured. The results were 60 seconds:     43    52    52    58    49    52    41    52    56    58 120 seconds:   59    55    59    66    62    55    57    66    66    51 Let...
The specifications for a certain kind of ribbon call for a mean breaking strength of 185...
The specifications for a certain kind of ribbon call for a mean breaking strength of 185 pounds. Suppose five pieces are randomly selected from different rolls. The breaking strengths of these ribbons are 171.6, 191.8, 178.3, 184.9 and 189.1 pounds. You are required to perform an appropriate hypothesis test by formulating the null hypothesis µ = 185 against the alternative hypothesis test µ < 185 at α = 0.10. (i) What is the critical region for the test? (ii) What...
) The breaking strength of plastic bags used for packaging produce is normally distributed, with a...
) The breaking strength of plastic bags used for packaging produce is normally distributed, with a mean of 17 pounds per square inch and a standard deviation of 9.5 pounds per square inch. What proportion of the bags have a breaking strength of a. less than 14.17 pounds per square inch? _______ b. at least 13.6 pounds per square inch? _______ c. 95% of the breaking strengths will be between what two values symmetrically distributed around the mean? _______ _______...
The breaking strength of yarn supplied by two manufacturers is being investigated. We know from experience...
The breaking strength of yarn supplied by two manufacturers is being investigated. We know from experience with the manufacturers’ processes that σ1 = 5 psi and σ2 = 4 psi. A random sample of 20 test specimens from each manufacturer results in x¯1 = 88 psi and x¯2 = 91 psi. (a) Show all steps (including how to find cutoff value) and construct a two-sided 90% Confidence Interval for the true difference in means. Draw a conclusion on whether yarn...
The breaking strength of yarn used in the manufacture of woven carpet material is Normally distributed...
The breaking strength of yarn used in the manufacture of woven carpet material is Normally distributed with 2.4 psi (pound-force per square inch). A random sample of 16 specimens of yarn from a production run were measured for breaking strength and a confidence interval for the breaking strength of yarn was found to be (128.7, 131.3). (a) What is the confidence level, C, of this interval? A. 90% B. 92% C. 95% D. 96% E. 97% F. 98.5% G. 99%...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT