8) A machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain an average µ = 8.25 ounces. We may assume that x follows a normal distribution with o = 0.42 ounces. A random sample of 20 cups of hot cappuccino from the machine had a mean content x = 8.12 ounces. Use an a = 0.05 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following: a) Write the null hypothesis Ho and the alternate hypothesis H1

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8) A machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot
cappuccino is supposed to contain an average µ = 8.25 ounces. We may assume that x follows a
normal distribution with o = 0.42 ounces. A random sample of 20 cups of hot cappuccino from
the machine had a mean content x = 8.12 ounces. Use an a = 0.05 significance level and test
whether the mean amount of liquid is less than 8.25 ounces by doing the following:
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:
Test statistic:
c) Find the p-value of the sampling distribution
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.
4.
Transcribed Image Text:8) A machine at BCC cafeteria dispenses a hot cappuccino drink. The average cup of hot cappuccino is supposed to contain an average µ = 8.25 ounces. We may assume that x follows a normal distribution with o = 0.42 ounces. A random sample of 20 cups of hot cappuccino from the machine had a mean content x = 8.12 ounces. Use an a = 0.05 significance level and test whether the mean amount of liquid is less than 8.25 ounces by doing the following: 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: Test statistic: c) Find the p-value of the sampling distribution 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. 4.
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