(a) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. r= (b) State the hypotheses. H0 : H1 : (c) Test the significance of the correlation coefficient at α=0.05 , using The Critical Values for the PPMC Table. Critical value(s): ± ▼(Choose one) the null hypothesis
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.
Water and Carbohydrates Here are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100 g each). Is there a linear relationship between the variables?
| Water
|
75.01
|
75.02
|
84.47
|
74.26
|
87.30
|
86.75
|
80.49
|
|---|---|---|---|---|---|---|---|
| Carbs
|
16.70
|
16.02
|
11.28
|
24.26
|
15.12
|
15.72
|
14.16
|
(a) Compute the value of the
(b) State the hypotheses.
|
(c) Test the significance of the correlation coefficient at α=0.05
, using The Critical Values for the PPMC Table.
| Critical value(s): ±
▼(Choose one) the null hypothesis.
|
|
(e) Give a brief explanation of the type of relationship.
|
There ▼(Choose one) a significant negative linear relationship between the number of grams of water and the number of grams of carbohydrates.
|
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