Overview
Part 1 complete discussion
Look at the replies to the discussion and see can you use what they used as the initial post.
For this discussion, create and post a 1-2 minute video describing a real-world example of when a hypothesis test could be used. Your video should also include a numerical example for another student to work through in their response. The example can use real data or data that you make up, such as values for the mean, standard deviation, and sample size. Be sure to note if the standard deviation is from the population or the sample. In your responses to other students, show the work and describe the steps you uses to solve that hypothesis example. Video technology does not need to be used in the replies, but you are always welcome to use it! For the videos, you can use recorded PowerPoints, MP4 files, or any video technology where the file can be loaded into the discussion.
Part 2 reply to discussion
Question 10: A coffee dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup, but a consumer believed that the actual mean amount is less. The consumer obtained a sample of 49 cups of the dispensed liquid with an average of 7.75 ounces. If the sample variance of the dispensed liquid delivered per cup is 0.81 ounces, and a = 0.05, the appropriate decision is to ____.
Answer: reject the 8-ounces claim
Explanation: The null hypothesis is that the mean amount of liquid dispensed is 8 ounces. The alternative hypothesis is that the mean amount of liquid dispensed is less than 8 ounces. The calculated t-statistic is: t = (7.75 - 8) / (0.9 / sqrt(49)) = -1.94
The p value for the test is 0.028. Since the p value is less than the significance level of 0.05, we reject the null hypothesis.
Part 3 reply to discussion
Good evening,
I also chose number twelve to answer. In performing hypothesis tests about the population mean, if the population standard deviation is not known, a t test can be used to test the mean if _______.
- The population mean is known
- The sample is random
- The population is chi-square distributed
- N is small
- the population is normally distributed
The “t test is applicable whenever the analyst is drawing a single random sample to test the value of the population mean, the population standard deviation is unknown, and the population is normally distributed for the measurement of interest” (Black, 2019, p. 287).
Part 4 complete discussion
Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present, and why?
Part 5 reply to discussion
Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present, and why?
To assist with illustrating the correlation between two sets of data, a scatter plot that interprets the data may be the best way to formulate the answer.
References:
https://homework.study.com/explanation/suppose-you-are-given-data-from-a-survey-showing-the-iq-of-each-person-interviewed-and-the-iq-of-his-or-her-mother-that-is-all-the-information-that-you-have-your-boss-has-asked-you-to-put-together-a-report-showing-the-relationship-between-these-two-vari.htmlLinks to an external site.
Part 6 reply to discussion
Good morning class,
In addressing the task presented by the boss, you can focus on conducting a correlation analysis between the two variables; individual IQ scores and maternal IQ scores. This would involve calculating the correlation coefficient, which would provide insight into the strength and direction of the relationship between the two IQ measurements. From my understanding, IQ has often been discussed in the context of genetic and environmental influences. Research indicates that there is a moderate to strong correlation between the IQs of children and their parents, suggesting a hereditary component to intelligence. This correlation could be illustrated through scatter plots, which would visually represent the relationship between the two sets of IQ scores. Additionally, you can also explore the potential for regression analysis to predict an individual's IQ based on their mother's IQ, providing a more nuanced understanding of this relationship.