rom records, it is known that the duration of treating a disease by a standard therapy has a mean of 15 days. It is claimed that a new therapy can reduce the treatment time. To test this claim, the new therapy is tried on 70 patients, and from the data of their times to recovery, the sample mean and standard deviation are found to be 14.6 and 3.0 days, respectively. Perform the hypothesis test using a 2.5% level of significance.
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.
From records, it is known that the duration of treating a disease by a standard therapy
has a mean of 15 days. It is claimed that a new therapy can reduce the treatment time.
To test this claim, the new therapy is tried on 70 patients, and from the data of their
times to recovery, the sample mean and standard deviation are found to be 14.6 and 3.0
days, respectively.
Perform the hypothesis test using a 2.5% level of significance.
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