Full data setO Uncarpeted 11.3 A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.01 level of significance? Carpeted 10.5 13 14.7 2.6 6 6.4 14 14.5 3.6 7.9 7.7 15.8 6.6 4.9 9.5 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: Hcarpet = Pno carpet versus H1: Hcarpet Pno carpet Calculate the test statistic, to. to = (Round to two decimal places as needed.)
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.
here is the full data set
Step by step
Solved in 2 steps with 3 images
