and n=65,cons 4 = م 76 = 7 If Confidence interval estimate of the كثر ہے
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Given that
Sample size n=65
Sample mean=76
Population standard deviation =14
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- To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 53.7 and a sample standard deviation of s = 4.7. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: μ = 50 H₂:μ> 50 ⒸHO: μ> 50 H₂: μ = 50 Ⓒ Ho: μ = 50 H₂:μ* 50 O Ho: μ = 50 Ha: μ> 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value= State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that the true average…You measure 47 watermelons' weights, and find they have a mean weight of 43 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, what is the maximal margin of error associated with a 95% confidence interval for the true population mean watermelon weight. Give your answer as a decimal, to two places ±±ouncesFind the LaTeX: \chi χ 2-value. Find the two critical chi-square values that corresponds to 95% confidence and n = 20.
- Express the confidence interval (34%,47.2%)(34%,47.2%) in the form of ˆp±MEp^±ME.% ±± %Please solve the blanks in (b) and (c) and show your work/explain the steps, thanks!!To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.2 and a sample standard deviation of s = 4.3. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. Ο H: μ 50 H: u # 50 O Ho: µ + 50 H3: H > 50 O Ho: H > 50 H: u = 50 O Ho: H = 50 H: u > 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the true…
- Express the confidence interval (595.8, 829.4) in the form of a + ME. * + METhe volume of milk in a 1 liter bottle follows a normal distribution with a mean of 1.01 liter and a standard deviation of 0.01 liter. Find the probability that a random bottle contains a volume between 0.99 liter and 1.02 liter. The lifetime of a certain model of washing machine follows a Weibull distribu- tion with scale parameter 15 years and shape parameter 3. The manufacturer wants to set the length of the guarantee on this model to make sure that at most 5% of the machines break down within the guaranteed period. What is the maximal number of whole years' guarantee he should offer?Express the confidence interval 119.5<μ<335.1119.5<μ<335.1 in the form of ¯x±MEx¯±ME.