Hypothesis testing of MEAN with TWO groups: Are hotel prices more expensive in New York State or in Connecticut? A sample of 49 NY hotels had a cost of $180 per night, S= $30. A sample of 49 Conn. hotels had a cost of $170 per night, S= $40. Use σ = .05. H0: __________ H1:__________ Tail (left, right, or two tails) _______ Test Z = __________ P-value= _________ State the conclusion ______ a) There is sufficient data to reject the null hypothesis and conclude that NY hotels are more expensive than Connhotels b) There is not sufficient data to reject the null hypothesis that they are both the same
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.
Hypothesis testing of MEAN with TWO groups: Are hotel prices more expensive in New York State or in Connecticut? A sample of 49 NY hotels had a cost of $180 per night, S= $30. A sample of 49 Conn. hotels had a cost of $170 per night, S= $40. Use σ = .05.
H0: __________
H1:__________
Tail (left, right, or two tails) _______
Test Z = __________
P-value= _________
State the conclusion ______
- a) There is sufficient data to reject the null hypothesis and conclude that NY hotels are more expensive than Connhotels
- b) There is not sufficient data to reject the null hypothesis that they are both the same
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