**Title: Confidence Intervals for Population Means****Section 6.2.1: Confidence Intervals for Population Means****Challenge Activity****Example Problem:**Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 6 inches. The heights of 8 randomly selected students are: 74, 66, 72, 67, 74, 64, 62, and 62.1. Calculate the sample mean: \( \bar{x} = \text{Ex: 12.34} \)2. Determine the margin of error at a 90% confidence level: Margin of Error = \( \text{Ex: 1.23} \)3. Construct the 90% confidence interval: \[ 90\% \text{ confidence interval} = [\text{Ex: 12.34, Ex: 12.34}] \] [Smaller value, larger value]**Input Box:**- Enter calculated values in the box.- Two options are available: "Check" and "Next" for submitting and progressing.No graphs or diagrams are presented in this activity. This exercise helps understand the process of calculating a confidence interval for population means with given data.

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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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Part d) where does the 0.675 come from?
DATAfile: Costco You may need to use the appropriate technology to answer this question. Consumer Reports uses a 100-point customer satisfaction score to rate the nation's major chain stores. Assume that from past experience with the satisfaction rating score, a population standard deviation of ? = 13 is expected. In 2012, Costco, with its 432 warehouses in 40 states, was the only chain store to earn an outstanding rating for overall quality. A sample of 15 Costco customer satisfaction scores follows. 95 90 83 75 95 98 80 83 82 93 86 80 94 64 62 (a) What is the sample mean customer satisfaction score for Costco? (b) What is the sample variance? (Round your answer to two decimal places.) (c) What is the sample standard deviation? (Round your answer to two decimal places.) (d) Construct a hypothesis test to determine whether the population standard deviation of ? = 13 should be rejected for Costco. With a 0.05 level of significance, what is your conclusion?…
ASAP please
Help with finding Pvalue & test statistic
A STATISTICS PROFESSOR IS REVIEWING GRADES TREAT THE SCHEDULE AS UNGROUPED DATA GRADE 86 76 96 86 92 82 74 76 85 81 88 GRADE 90 86 76 74 85 92 85 76 83 84 95 SOLVE FOR UNGROUPED DATA- MEASURES OF CENTRAL TENDENCY, QUARTILES. SAMPLE STANDARD DEVIATION RANGE INTERQUARTILE RANGE SOLVE BOTH WAYS
(b) Suppose that the measurement 37 (the largest measurement in the data set) were replaced by 69. Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode O None of these measures
Mean = 5.2 Median=3 Mode= 2 Graph what the distribution would look like. Is it normally distributed? If not, how is it skewed and what might cause this type of skew to the distribution?
Detecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.
A survey information given below, Sample mean = 5.5, s=2.517, df-8 and confidence level 95% (coresponding test statistic value is 2.303). Based on this information answer the folowing: Which test is appropriate, z-test or t-test? Type either "z-test" or "t-test" A What was the sample size? A Calculate the margin of error. (Report two decimal point, #.##) A Calculate the confidence interval-write lower and uppler value using comma ",". (Report two A If the df decimal point: #.##, #.##) increases to 30 then what will impact on the margin of error? Write either "increase" A If the df or "decrease" or "no change" increases to 30 then what will impact on the confidence interval? Write either "wide" or "narrow" or "no change"

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