specified to be normally distributed with a mean of 10,000 ohms and a standard deviation of 500 ohms, at a temperature of 25°C. Thus, only about 2.3% of these thermistors should produce resistances in excess of 11,000 ohms. The exact measurement of resistances produced is time-consuming, but it is easy to determine whether the resistance is larger than a specified value (say, 11,000). For 100 ther- mistors tested, 5 showed resistances in excess of 11,000 ohms. Do you think the thermistors from which this sample was selected fail to meet the specifications? Why or why not?

In a certain chemical process, it is very important that a particular solution that is to be used as a reactant have a pH of exactly 8.20. A method for determining pH that is available for solutions of this type is known to give measurements that are normally distributed with a mean equal to the actual pH and with a standard deviation of .02. Suppose 10 independent measurements yielded the following pH values: 8.18 8.17 8.16 8.15 8.17 8.21 8.22 8.16 8.19 8.18 a) What conclusion can be drawn at the a1 = .10 a, = .10 level of significance? b) What about at the a2 = .05 a, = .05 level of significance? c) What is the p-value?

A random sample of 49 adult coyotes in a region of northern Minnesota showed the average age to be 2.09 years, with a sample standard deviation of 0.85 years. However, it is thought that the overall population mean age of the coyotes is 1.76 years. Match the numerical values from the problem to the corresponding symbols below. If a symbol does not have a corresponding value, mark it as "DNE."

To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10​, can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles? Assume the samples are random and​ independent, and the populations are normally distributed.   The critical​ value(s) is/are   Find the standardized test statistic z for μ1−μ2.

For samples of the specified size from the population described, find the mean and standard deviation of the sample meanx. The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of x A) μ=83; 0x=2 B) μ = 2; σ= 83 Oc C) μ = 83; σ= 14 D) u 14; = 83 =

Based on the image attached, it shows monthly wind speed data (measured in m/s) was obtained. The researcher claimed that the average wind speed distribution is less than 12m/s.

The length of a widget is normally distributed with µ =6” and σ = 0.05”. What is the lower specification if 10.03% of the widgets are scrapped for being too short?

Which of the following is the correct formula for the margin of error of a population mean where the population standard deviation is not known? A. EBP =z⋅√p'⋅q'n=z⋅p′⋅q′n B. t=¯x−μs√nt=x¯-μsn C. EBM =t⋅s√n=t⋅sn D. EBM =z⋅σ√n

A population has a mean of μ = 60 and a standard deviation of σ = 12.a. For this population, find the z-score for each of the following X values.X = 69 X = 84 X = 63X = 54 X = 48 X = 45

A statistician claims that the standard deviation of the weights of firemen is more than 25 pounds.   A sample of 20 randomly chosen firemen had a standard deviation of their weights of 26.2 pounds.   Assume the variable is normally distributed. At  a=0.05 what is the critical value χ2 for this test?