Question Help ▼ The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, µC-HA. Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.) Full data set o Children's cereal: 43.4, 58, 47.9, 44.3, 53.6, 45.8, 52.1, 40.9, 40.1, 43.2, 45.5, 43.5, 38.6, 58.9, 49.7, 53.1, 39.7, 56.7, 42, 34.5 Adults' cereal: 23.7, 26.2, 0.1, 7, 4.9, 23.1, 17.9, 10.7, 20.9, 8.7, 9.7, 14.4, 16.1, 10.7, 0.6, 15.4, 2.6, 3.5, 0.3, 8.9, 10.6, 2, The confidence interval is D. (Round to two decimal places as needod)
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.
![HW Score: 90%, 9 of 10
Question Help v
17.1.65-T
interval for the difference in the mean sugar content, µc-HA. Be sure to check the necessary assumptions and conditions. (Note: Do not assume
that the variances of the two data sets are equal.)
Full data set e
Children's cereal: 43.4, 58, 47.9, 44.3, 53.6, 45.8, 52.1, 40.9,
40.1, 43.2, 45.5, 43.5, 38.6, 58.9, 49.7, 53.1, 39.7, 56.7, 42,
34.5
Adults' cereal: 23.7, 26.2, 0.1, 7, 4.9, 23.1, 17.9, 10.7, 20.9,
8.7, 9.7, 14.4, 16.1, 10.7, 0.6, 15.4, 2.6, 3.5, 0.3, 8.9, 10.6, 2,
1.4, 4.3, 5.8, 3.7, 15.6, 8.5, 15.8, 14.1
The confidence interval is , )-
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe74db88-6add-4256-bae7-47ff669da2e8%2F6a9a3eeb-c3cb-41df-8148-c94eaf9661ff%2Fr8xjyqk_processed.jpeg&w=3840&q=75)
![Question Help v
The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence
interval for the difference in the mean sugar content, µc-HA. Be sure to check the necessary assumptions and conditions. (Note: Do not assume
that the variances of the two data sets are equal.)
Full data set a
Children's cereal: 43.4, 58, 47.9, 44.3, 53.6, 45.8, 52.1, 40.9,
40.1, 43.2, 45.5, 43.5, 38.6, 58.9, 49.7, 53.1, 39.7, 56.7, 42,
34.5
Adults' cereal: 23.7, 26.2, 0.1, 7, 4.9, 23.1, 17.9, 10.7, 20.9,
8.7, 9.7, 14.4, 16.1, 10.7, 0.6, 15.4, 2.6, 3.5, 0.3, 8.9, 10.6, 2,
The confidence interval is ).
(Round to two decimal places as needed.)
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