A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 56 bolts. The sample mean bolt length was 190.9 centimeters. The population standard deviation is known to be 0.27 centimeters.What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of 0.01?

Name: A factory that manufactures bolts is performing a quality control expe
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 56 bolts. T

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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