Women are recommended to consume 1820 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 2041, 1758, 1986, 1990, 1674, 1769, 1734, 1994, 1879, 1933, 1725 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = < > ≠ H1:H1: ? μ p Select an answer < = ≠ > The test statistic ? z t = (please show your answer to 2 decimal places.) The p-value = (Please show your answer to 4 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.
Women are recommended to consume 1820 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below:
2041, 1758, 1986, 1990, 1674, 1769, 1734, 1994, 1879, 1933, 1725
Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?
- For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
- The null and alternative hypotheses would be:
H0:H0: ? μ p Select an answer = < > ≠
H1:H1: ? μ p Select an answer < = ≠ >
- The test statistic ? z t = (please show your answer to 2 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
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