Ages of Dogs The average age of pet dogs is 4.3 years. Two random samples of pet owners who own dogs are selected. Sample 1 of 13 dog owners was selected from owners who live in Miami. The standard deviation of the ages of the dogs in this sample is 1.1 years. Sample 2 of 10 dog owners was selected from dog owners who live in Boston. The standard deviation of these dogs was 0.5 year. At α=0.01, can it be concluded that there is a difference in the variances? Use the critical value method and tables. (a)State the hypotheses and identify the claim. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test. (b)Find the critical value. Round the answer to at least two decimal places. Critical value is (c)Compute the test value. Round the standard deviations and F score values to at least two decimal places. F= (d)Make the decision. ▼(Choose one) the null hypothesis. (e)Summarize the results. There is ▼(Choose one) that the variances are different.
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.
Ages of Dogs The average age of pet dogs is 4.3 years. Two random samples of pet owners who own dogs are selected. Sample 1 of 13 dog owners was selected from owners who live in Miami. The standard deviation of the ages of the dogs in this sample is 1.1 years. Sample 2 of 10 dog owners was selected from dog owners who live in Boston. The standard deviation of these dogs was 0.5 year. At α=0.01, can it be concluded that there is a difference in the variances? Use the critical value method and tables.
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:H0 ▼(Choose one)
:H1 ▼(Choose one)
This hypothesis test is a ▼(Choose one) test. |
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▼(Choose one) the null hypothesis.
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There is ▼(Choose one) that the variances are different.
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