b.The null and alternative hypotheses would be: H0: H1: c. The test statistic d. The p-value = ? (Please show your answer to 4 decimal places.) = (please show your answer to 3 decimal places.)
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.
On average, Americans have lived in 4 places by the time they are 18 years old. Is this average more for college students? The 69 randomly selected college students who answered the survey question had lived in an average of 4.11 places by the time they were 18 years old. The standard deviation for the survey group was 1. What can be concluded at the
α= 0.01 level of significance?
b.The null and alternative hypotheses would be:
H0:
H1:
c. The test statistic
d. The p-value = ? (Please show your answer to 4 decimal places.)
= (please show your answer to 3 decimal places.)
In this context, the aim is to check whether the population mean number of places lived by the Americans is more than 4.
b.
Null hypothesis H0: µ = 4 vs Alternative hypothesis H1: µ>4.
Computation of test statistic value:
The sample size is greater than 30. Thus, the appropriate test is one sample z test.
Denote µ as the true mean.
The formula for one sample z test is given below.
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