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.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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