ssume for this first question that Snape’s final exam has a population standard deviation of σ=12. Can he demonstrate that the VR instruction method was significantly different from his traditional teaching method? (Assume a two-tailed test with α=.05)
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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Note: This will be a multiple-part set of questions. The beginning will be the same for the first few questions:
Professor Snape is your instructor for Chemistry 101. He has given the same final exam for his class for a long time; he happens to know that exam scores on this test are
normally distributed and have a population mean of µ=80.Because of prior laboratory catastrophes (don’t worry, all students were returned to their original species), he tried a new method of instruction this year. He got a random sample of n=16 students and taught them using virtual reality (VR). These students then took his original final exam, and their sample average was M=76.
--------unique information for the first question below: --------
Assume for this first question that Snape’s final exam has a population standard deviation of σ=12.
Can he demonstrate that the VR instruction method was significantly different from his traditional teaching method? (Assume a two-tailed test with α=.05)
Yes, he can conclude that his VR method is significantly different from his traditional method.
This is because the z-test equals -1.00 and is significant
Yes, he can conclude that his VR method is significantly different from his traditional method.
This is because the z-test equals -1.33 and is significant
No, he cannot conclude that his VR method is significantly different from his traditional method.
This is because the z-test equals -1.33 and is not significant
No, he cannot conclude that his VR method is significantly different from his traditional method.
This is because the z-test equals -1.00 and is not significant
1.
Let denotes the population mean. The claim of the test is that the VR instruction method was significantly different from his traditional teaching method. The hypothesis is,
Null hypothesis:
Alternative hypothesis:
The test statistic is,
The test statistic is -1.33.
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