community college Math instructor feels that the average number of units students enroll in each semester has increased since he was a student at community college. Looking up data from the year the instructor started teaching, the mean number of units community college students enrolled was 14.3 units, with a population standard deviation of 3.2 units. The Math instructor took a sample of 40 of the current community college students and found that the sample had a mean number of units enrolled of 15.7 units. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean number of units enrolled for community college students is now greater than 14.3 units. In the statements below, select the correct value/response to fill in the blanks: (i) Hypotheses 0 is the subscript H0: μ = __________
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.
A community college Math instructor feels that the average number of units students enroll in each semester has increased since he was a student at community college. Looking up data from the year the instructor started teaching, the
Test at the 5% significance level if the mean number of units enrolled for community college students is now greater than 14.3 units.
In the statements below, select the correct value/response to fill in the blanks:
(i) Hypotheses
0 is the subscript
H0: μ = __________
a) 0.05
b) 3.2
c) 14.3
d) 15.7
e) 40
Choose correct answer to fill in the blank.
H1: μ (< / >) ___________ (0.05/ 3.2/ 14.3/ 15.7/ 40) _______________
(ii) Test Statistic
(z/ t / ch-square) ____________ = (1.96/ 2.02/ 2.58/ 2.77) ______________
(iv) Decision
(Reject the Null Hypothesis/ Do Not Reject the Null Hypothesis)
______________.
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