To obtain information on the eel conduit, 45 specimens are buried in 2-year period. The properties of 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 О НО И > 50 H₂: μ = 50 O Ho: μ = 50 H₂: μ* 50 Ho: μ* 50 H₂: 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.) P-value= State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils. Reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils.

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 = 53.9 and a sample standard deviation of s = 4.5. 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: H = 50 H3: µ # 50 Ο H: μ 50 H3:µ > 50 Ο H: μ= 50 Hz: µ > 50 Ο H: μ > 50 H: 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the true…

Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 50 with a mean of 36.5 and a standard deviation of 11.3 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population mean μμ. Find the margin of error EE that corresponds to a sample of size 17 with a mean of 39.4 and a standard deviation of 5.7 at a confidence level of 98%.Report EE accurate to one decimal place because the sample statistics are presented with this accuracy.EE = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 5 with a mean of 60.6 and a standard deviation of 12.1 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

A machine producesbearings with diameters that are normally distributed with mean 3.0005 inches and standard deviation of 0.0010 inch.Specifications require the bearing diameters to lie in the interval 3.000+-0.0020 inches.Those outside the intzerval are considered scrap and must be processed. With the existing machine setting, what fraction of total production will be scrap?