A group of APAP Chemistry students debated which fast-food chain had better quality bags, Fast Food Chain W or Fast Food Chain M . They decided to investigate by selecting a random sample of 25 bags from each fast food restaurant, slowly adding water until each bag began to leak, and recording the volume of water they were able to pour into each bag. They then calculated the mean volume and standard deviation, in ounces, for the two types of bags. Which of the following are the correct null and alternative hypotheses to test whether the mean volume of water the bags from Fast Food Chain W can hold without leaking, μW, is different from that for the bags from Fast Food Chain M, μM ? a) H0:μW−μM=0 Ha:μW−μM>0 b) H0:μW−μM<0 Ha:μW−μM>0 c) H0:μW−μM=0 Ha:μW−μM≠0 d) H0:x¯W−x¯M=0 Ha:x¯W−x¯M>0 E) H0:μW−μM=0 Ha:μW−μM<0
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A group of APAP Chemistry students debated which fast-food chain had better quality bags, Fast Food Chain W or Fast Food Chain M . They decided to investigate by selecting a random sample of 25 bags from each fast food restaurant, slowly adding water until each bag began to leak, and recording the volume of water they were able to pour into each bag. They then calculated the mean volume and standard deviation, in ounces, for the two types of bags. Which of the following are the correct null and alternative hypotheses to test whether the mean volume of water the bags from Fast Food Chain W can hold without leaking, μW, is different from that for the bags from Fast Food Chain M, μM ?
a) H0:μW−μM=0
Ha:μW−μM>0
b) H0:μW−μM<0
Ha:μW−μM>0
c) H0:μW−μM=0
Ha:μW−μM≠0
d) H0:x¯W−x¯M=0
Ha:x¯W−x¯M>0
E) H0:μW−μM=0
Ha:μW−μM<0
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