The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way candies. M&M's Kit Kat Milky Way 210 205 200 220 215 218 230 235 202 240 225 190 210 250 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. H0: MedianMM = MedianKK = MedianMW Ha: MedianMM > MedianKK > MedianMW H0: All populations of calories are identical. Ha: Not all populations of calories are identical. H0: Not all populations of calories are identical. Ha: All populations of calories are identical. H0: MedianMM ≠ MedianKK ≠ MedianMW Ha: MedianMM = MedianKK = MedianMW H0: MedianMM = MedianKK = MedianMW Ha: MedianMM ≠ MedianKK ≠ MedianMW Find the value of the test statistic. (Round your answer to two decimal places.) =____ Find the p-value. (Round your answer to three decimal places.) p-value = _____ At a 0.05 level of significance, what is your conclusion? (A) Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. (B) Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. (C) Reject H0. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. (D) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.
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.
M&M's | Kit Kat | Milky Way |
---|---|---|
210 | 205 | 200 |
220 | 215 | 218 |
230 | 235 | 202 |
240 | 225 | 190 |
210 | 250 | 180 |
Ha: MedianMM > MedianKK > MedianMW
Ha: Not all populations of calories are identical.
Ha: All populations of calories are identical.
Ha: MedianMM = MedianKK = MedianMW
Ha: MedianMM ≠ MedianKK ≠ MedianMW
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