Need Help with D E F Use the following information to answer the following exercises: Suppose that a recentarticle stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. Astudy was then done to see if the mean time has increased in the new century. A randomsample of 26 first-time convicted burglars in a recent year was picked. The mean length oftime in jail from the survey was three years with a standard deviation of 1.8 years. Supposethat it is somehow known that the population standard deviation is 1.5. Conduct ahypothesis test to determine if the mean length of jail time has increased.Assume the distribution of the jail times is approximately normal.a. Is this a test of means or proportions?_____________________________b. Is σ known and, if so, what is it?_____________________________c. Since both ? and ?? are given, which should be used? In a complete sentence, why.d. State the distribution to use for the hypothesis test.e. State the null and alternative hypotheses.?0: ____________________ ??: ____________________f. Find the ? − ?????, conduct the hypothesis test and state your conclusion.? − ????? = _________________
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.
Need Help with D E F
Use the following information to answer the following exercises: Suppose that a recent
article stated that the
study was then done to see if the mean time has increased in the new century. A random
sample of 26 first-time convicted burglars in a recent year was picked. The mean length of
time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose
that it is somehow known that the population standard deviation is 1.5. Conduct a
hypothesis test to determine if the mean length of jail time has increased.
Assume the distribution of the jail times is approximately normal.
a. Is this a test of means or proportions?
_____________________________
b. Is σ known and, if so, what is it?
_____________________________
c. Since both ? and ?? are given, which should be used? In a complete sentence, why.
d. State the distribution to use for the hypothesis test.
e. State the null and alternative hypotheses.
?0: ____________________ ??: ____________________
f. Find the ? − ?????, conduct the hypothesis test and state your conclusion.
? − ????? = _________________
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