A group of third grade students is taught using a new curriculum. A control group of third grade students is taught using the old curriculum. The reading test scores for the two groups are shown in the back-to-back stem-and-leaf plot. At a = 0.01, is there enough evidence to support the claim that the 88 7 5 4 3 1 1 60001244 55 7 9 9 new method of teaching reading produces higher reading test scores than the old method does? Assume the population variances are equal. Complete parts (a) through (e) below. Assume the samples are random and independent, and the populations are normally distributed. Old New Curriculum Curriculum 6 3 54 49 99844310 569 |7012445 6 9 824 Key: 4|7|0 = 74 Old and 70 New (b) Find the critical value(s) and identify the rejection region(s).
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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