### Confidence Intervals for Population MeansA worker stands at the end of a production line for mint chocolate chip ice cream and uses warm water to melt the ice cream away from the chocolate. The amount of chocolate is then weighed. Each container should contain 4 ounces of chocolate. The results of a simple random sample of 12 containers are shown below. Assume the amount of chocolate added to the ice cream is normally distributed.#### Data Summary:- **Mean**: 3.917- **Variance**: 0.042- **Observations**: 12- **Hypothesized Mean**: 4- **Degrees of Freedom (df)**: 11- **t Stat**: -1.42- **P(t ≤ t) one-tail**: 0.092- **t Critical one-tail**: 2.718- **P(t ≤ t) two-tail**: 0.184- **t Critical two-tail**: 3.106- **Confidence Level (99.0%)**: 0.183#### Analysis Questions:1. **What condition is met for the use of a t-distribution?** - (Dropdown selection)2. **What is the level of significance?** - Example: 1.233. **What conclusions can be drawn from the data?** - (Dropdown selection)4. **What is the confidence interval for the amount of chocolate?** - Example: 1.2345. **Does the confidence interval support the results of the hypothesis test?** - (Dropdown selection)6. **Why?** - Response area### Diagram Explanation:- The data summary tabulates the statistical analysis results related to the chocolate measurement in mint chocolate chip ice cream production, including mean, variance, observations, and hypothesis test statistics.- This information helps determine if there is a significant difference between the observed mean and the hypothesized mean, and if the amount of chocolate in containers meets the specification of 4 ounces.

Solution: Given information: n= 12 Sample size x = 3.917 Sample mean s2= 0.042 Sample variance μ=…

Answered: A worker stands at the end of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of u = 67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X= cm S= cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? State the null and…
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A behavioral researcher measures the stress response of mice exposed to scary animal pictures (cat, dog, lion, Cheshire cat) with a GABA sensor implanted in the brain. He uses randomly assigned 40 mice, 10 in each group. The researcher records the amount of stress after 30 seconds assuming that there is no difference in the response in whatever way the mouse is scared. The data is normally distributed. Means and variances are provided in the table below. Is there a difference in the response to scary animals. Group 1 - Cat n₁=10 m₁ = 10 s² 1= 1.8 Group 2 - Dog n2=10 m₂= 5.0 s²2= 3.4 Why is the scare effect so low in group 4? Group 3 - Lion n3=10 m3= 3.4 s²1= 2.5 Group 4 - Chesire Cat n4=10 m4= 2.4 s² 1= 1.6
Please explain and fill table with steps by step results
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