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Part 1 · Use the data to create a relative frequency table and histogram for all the data. Use .05 as the span of your rows (so you’d have below 83.75, 83.75 84 · Calculate the hypothesis tests at...

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Part 1
· Use the data to create a relative frequency table and histogram for all the data. Use .05 as the span of your rows (so you’d have below 83.75, 83.75 < 83.80, and so on.)  Talk about the characteristics of the distribution. Visually check the data for a normal distribution or alternative distribution and share your findings.
· Your results from last time showed that none of the sample means were outside of the acceptable range, even though some of the blocks of samples had a number of individual scores that were outside the acceptable range. Explain why you think this occu
ed.
· Last time you found the probability of a number of individual events. This time your boss has asked you what is the combined probability of finding a rope outside of the acceptable range (below 83.75 and above 84.2) for each sample.
Part 2
Based upon all the means being within range, your boss asks you to estimate confidence intervals, at the level of 95% confidence, for all the means you calculated in Project 1. Look at your results and discuss your findings. In particular, address any issues you see with confidence intervals that are outside the acceptable ranges set by quality control.
Part 3
· Conduct hypothesis tests for the following:
· H1: µ ≠ 84
· H1: µ < 84
· H1: µ > 84
· Calculate the hypothesis tests at both alpha levels of .10 and .05. Make sure you state the null and alternative hypotheses.
Part 4
Run a one factor ANOVA that compares the morning and afternoon (before and after lunch) quality samples. Then run a two factor ANOVA that compares the morning and afternoon quality samples on each day of the week (remember these are related populations).
Part 5
After conducting all these tests, analyze your findings to report if there is a problem in the rope manufacturing process. Make recommendations for the company based upon your results.
 
Submission Instructions
Submit your answers in an excel file with all your formulas. Written responses should be labeled and in a text box.
Answered Same Day Sep 14, 2021

Solution

Gajula Nagasai answered on Sep 18 2021
145 Votes
Part 1. The following is the relative frequency distribution
    Sample means
    Frequency
    Relative frequency
    Cumulative %
    83.95
    6
    15.00%
    15.00%
    84
    20
    50.00%
    65.00%
    84
    0
    0.00%
    65.00%
    84.05
    12
    30.00%
    95.00%
    More
    2
    5.00%
    100.00%
    Total
    40
     
     
Histogram:
The above histogram and Relative frequency distribution explains that the data is following normal distribution.
2. From the last results the none of the sample means were outside the acceptable range but some of the samples had several individual scores that were outside the acceptable range because the average will not explain the variation of results.
Suppose you have the individual scores of two samples 80 and 90 the average of two samples is 85 it is closer to target value 84. So, the none of the sample means were outside the acceptable range.
3. The combined probability of finding a rope outside of the acceptable range (below 83.75 and above 84.2) that means from the last results we observed that the probability for each sample that a rope outside the 2-standard deviation means 95% of the data will fall within the range other 5% of samples outside the range.
Therefore, combined probability of finding a rope outside of the acceptable range (below 83.75 and above 84.2) is 0.05.
Part 2. Confidence level for the mean
    95% confidence...
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