PVC pipes is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003 inch. Find the Probability that a random sample of n=9 sections of pipe will have a sample mean diameter greater than 1.009 inch and less than 1.012inch.
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- A recent study done on college students found that the mean time they spend on homework assignments per week is 6.5 hours with a standard deviation of 1.2 hours. Suppose a random sample of 50 college students is taken. Describe the sampling distribution of the sample mean. O shape: exactly normal Hz = 6.5 oz = 1.2 O shape: exactly normal HE= 6.5 oz =0.17 O shape: approximately normal H2 = 6.5 Oz = 0.17 O shape: approximately normal Hz = 6.5 0z = 1.2The length of time it takes to find a parking space at the local grocery store, follows a normal distribution with a mean of 5 min and a standard deviation of 2 min. Find the 70th percentile for the time looking for a parking space.A CNC (computer numerical control) machine produces iron automobile crankshafts. Samples are measured and the inner diameter are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. For all computations, assume an approximately normal distribution. The sample mean and standard deviation for the given data are = 1.0056, and s =0.0246. Find a 99% confidence interval on the mean of diameter. Compute a 99% prediction interval on a measured diameter of a single crankshaft piece taken from the machine. Find the 99% tolerance limits that will contain most of the metal pieces produced by the CNC machine. O a. CI on the mean: 0.9781 <µ <1.0331. Prediction Interval: 0.9186 s Xp+151.0926. Tolerance Interval (0.8937 and 1.1175) O b. Insufficient data to compute. Missing the sample size n Oc CIon the mean: 0.9781 <µ<1.0331. Prediction Interval: 0.9186 s Xp+151.0926. Tolerance Interval (0.8937 and 1.1175). Insufficient data to compute for the Tolerance Interval Od. CI on…
- Mileage data of new model cars follow a normal distribution with an average mileage of 26 mpg and a standard deviation of 7. Consider a sample of size 15 cars. What is the probability that the mean mileage of these selected cars is at most 27.5 mpg?A police radar gun is used to measure the speeds on a highway. The speeds are normally distributed with a mean of 62 mi/hr and a standard deviation of 12 mi/hr. c. If a sample of 200 cars is selected, what is the probability that the sample mean speed would be greater than 64 mi/hr? Verify the conditions of the CLT. Draw the appropriate shaded region of the normal distribution.A machine produces glass with a nominal thickness of 4mm. In fact the thickness is a Normal random variable with mean 4.168mm and standard deviation 0.12mm. The thickness in mm which 5% of panes exceed is (2 d.p.)?
- The tensile strength of paper can be modelled by a normal distribution with a mean of 240kPa and standard deviation 15kPa. What is the probability that the tensile strength will be between 226kPa and 243kPa? O 0.1753 0.1587 0.5793 0.4039The mean age of employees at a large corporation is 47.2 years, with a standard deviation of 3.6 years. Random samples of size 36 are drawn from this population and the mean of each sample is determined. Find the mean and standard error of the mean of the sampling distribution.The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. What is the probability that the sample mean will be between 2.4 and 2.6 inches?
- The height of an 8th grader is modeled using the normal distribution shown below.A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeteres. Question: If one part is randomy selected, find the probability that the part is less than 19.3 centimeters.A laminated item is composed of five layers. The layers are a simple random sample from a population whose thickness has mean 1.2 mm and standard deviation 0.04 mm..Find the standard deviation of the thickness of an item.