An article in the Sarasota Herald Tribune said that students in the Florida state university system take on average 4.5 years to complete an undergraduate degree. You believe that the mean time is longer. After conducting a survey of 49 students, you obtain a sample mean of 5.1 years with a sample standard deviation of 1.2 years. Using a 99% level of confidence, does the data support your claim that the average time to earn an undergraduate degree is more than 4.5 years? a. What statistical test will you use to test this data? b. State the null and alternative hypothesis. i. H0: ii. Ha: c. What are the confidence intervals?
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.
1. An article in the Sarasota Herald Tribune said that students in the Florida state university system take on average 4.5 years to complete an undergraduate degree. You believe that the mean time is longer. After conducting a survey of 49 students, you obtain a sample mean of 5.1 years with a sample standard deviation of 1.2 years. Using a 99% level of confidence, does the data support your claim that the average time to earn an undergraduate degree is more than 4.5 years?
a. What statistical test will you use to test this data?
b. State the null and alternative hypothesis.
i. H0:
ii. Ha:
c. What are the confidence intervals?
d. What is the value of the test statistic?
e. What is the p-value?
f. Circle/highlight the correct decision about the null hypothesis.
Reject H0 Fail to Reject H0
g. What are your conclusions?
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