her You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this - (fa claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. le sc nme 38 26 28 32 35 43 24 23 300 e sc 29 31 33 30 26 29 31 29 23 eboc (a) Write the claim mathematically and identify Ho and H,. te scc Which of the following correctly states Ho and H,? il O A. Ho: = 32 OB. Ho: us 32 OC. Ho: u= 32 H u32 OF. H: u2 32 oxt H u> 32 cessibl source O D. Ho: <32 H, p2 32 OE. Ho: u> 32 Hius32 Hu<32 ols for (b) Use technology to find the P-value. ultimed p-(Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct?
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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