Practice A. Complete the table. Read the given problem then solve using the steps of hypothesis testing using population means by filling the blanks. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation s is 5 ml. Is the claim true? Write your answer on a separate sheet of рaper. Steps Answer 1. Formulate the null and alternative hypothesis. H u = 250 H. (1) (2) 2. Collect data appropriate procedure. Specify the level of significance a. and decide on Given: u = 250 testing X = 248 s = 5 0.05 statistical a = n= 100 (applies CLT) 3. Compute the test-statistic a. Solve for standard error (5) Since n> 30, use z X -u (6) =_(7) (8) 4. Determine the rejection region, then ZCOMPUTED VS Zov make a decision. (9) The null hypothesis is not accepted. (10) 5. Make a conclusion about the hypotheses
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images