Deer mice (Peromyscus maniculatus) are small rodents native of North America. Théir adult body lengths (excluding tail) are known to vary approximately Normally, with mean p= 86 millimeters (mm) and standard devlation a = 8 mm. A researcher uses a random sample of 14 deer mic

A process is in statistical control with a mean of 79.5 mm and a standard deviation of 1.85. The upper specification limit is 80.2 mm, and the lower specification is 78.6 mm. What are the values of Cp, Cpk?

Consider a process with Target = 91 , and LSL = 71, and SQL = 8 What is the standard deviation? Give your reasons

For a particular process that is in good statistical control, the mean standard deviation value, sbar, is 0.162. Calculate the estimate for the population standard deviation (the Shewhart standard deviation) if the sample size is 3.

is computed from a sample and is used to estimate a population parameter.

In a survey, the mean weight of 1032 rats was calculated to be 132 gr. The standard deviation of the observation was found to be s=3 gr. Determine at least how many of the surveyed rats have a weight between 124.5 and 139.5 gr.

The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 31.8 cm and a standard deviation of 2.7 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 34.9 and a standard deviation of 4.5. Random samples of a size 100 are selected of each species of hellbender. The box plots are created for each dataset. Which box plot will most likely have the larger interquartile range? O a. The IQR will be around the same for each. 0. O b. Either is equally likely to be larger than the other. 0 O c. The Ozark hellbenders. 0 O d. The eastern hellbenders. 0

The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm

To run without causing damage, diameters of engine crankshafts for a certain car model must fall between 223.92mm and 224.08mm. Crankshaft diameters are normally distributed, with a mean of 224mm and a standard deviation of 0.03mm. What percentage of these crankshafts are likely to cause damage?

The weight of male athletes is normally distributed with a mean of 95 kg and astandard deviation of 7 kg. If 68% of athletes satisfy a maximum weight requirementfor contest, find the maximum weight requirement.