Week 10 Assignment Part II PS. For all problems, we assume the equality of variance between groups (homogeneity of variance assumption) Problem 1 A magazine claims that the mean amount spent by a customer at Burger Stop is greater than] the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At a=0.05 can you support the magazine's claim? Assume the population variances areſequal. Assume the samples are random and independent, and the populations are normally distributed\ Complete parts (a) through (e) below. Burger Shop: X1 = 11.56 S, = 0.78, n = Fry World: X2 = 10.93 S2 = 0.75 n2 = 11 1) State the null hypothesis and the alternative hypothesis. 2) Which hypothesis is the claim? 3) Find the critical value. 4) Find the standardized t test. 5) Find the p-value 6) Decide whether to reject or fail to reject the null hypothesis. 7) Interpret the decision in the context of the original claim. 13 %3D %3D
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.
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