machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain a average mean = 8.25 ounces. We may assume that x follows a normal distribution with standard deviation = 0.42 ounces . A random sample of 20 cups of hot cappuccino from the machine had a mean content =8.12 ounces . Use an a= 0.5 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following
machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain a average mean = 8.25 ounces. We may assume that x follows a normal distribution with standard deviation = 0.42 ounces . A random sample of 20 cups of hot cappuccino from the machine had a mean content =8.12 ounces . Use an a= 0.5 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following
machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain a average mean = 8.25 ounces. We may assume that x follows a normal distribution with standard deviation = 0.42 ounces . A random sample of 20 cups of hot cappuccino from the machine had a mean content =8.12 ounces . Use an a= 0.5 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following
A machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain a average mean = 8.25 ounces. We may assume that x follows a normal distribution with standard deviation = 0.42 ounces . A random sample of 20 cups of hot cappuccino from the machine had a mean content =8.12 ounces . Use an a= 0.5 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following
Transcribed Image Text:a) Write the null hypothesis Ho and the alternate hypothesis H1
b) Specify your data, then, use the appropriate formula to find the value of the sample test
statistic (either z or t)?
Data: u
%D
-n =
Test statistic:
c) Find the p-value
d) Base on your answer for parts (a) through (c), will you reject or fail to reject the null
hypothesis? Explain your answer.
3.
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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