MAT 107 Project MAT 107 Course Project Directions: Please complete the following statistical analyses for the sample data given below. If you do the work for this project by hand, you must show the...

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MAT 107 Project MAT 107 Course Project Directions: Please complete the following statistical analyses for the sample data given below. If you do the work for this project by hand, you must show the work you do to arrive at your results. If you use technology (Excel, StatCrunch, graphing calculator, etc.) to obtain the results, you must state the technology you used to obtain the results. Here is the sample data set you will be using for all parts of this project: Insert your class’s data set here. Part 1 – due at 11:59 pm on Wed. June 16. 1. Construct a grouped frequency distribution for the sample data. Use 6 classes. Use the minimum data value as the lower limit of the first class. (18 points) Class Limits Class Boundaries Frequency Relative Frequency Cumulative Frequency Midpoint 2. Draw a histogram for the data set. Title the graph and label the axes appropriately. (6 points) 3. Does the distribution appear to be normal (yes or no)? Explain. (2 points) 4. Find the following descriptive statistics for the sample data. (20 points) Mean Median Mode(s) Range Variance Standard Deviation 5. Find the 5-number summary for the data. (11 points) Min = _______________ Q1 = _______________ Q2 = _______________ Q3 = _______________ Max = _______________ 6. Sketch a box plot. Do your best to draw it to scale. Be sure to title the graph. (7 points) 7. What is the IQR for this data set? ____________ (2 points) 8. Outlier identification. (4 points) Any data value less than ________or greater than_______ is to be considered an outlier. Therefore, the following data values are outliers (write “none” if there are no outliers): Part 2 – due at 11:59 pm on Tues. July 13. 9. Construct a 95% confidence interval for the population’s mean. (7 points) ____________ < μ="">< ____________ 10. if someone were to ask you what this particular confidence interval means, what would you say? (3 points) 11. test the hypothesis that the population’s mean is different from the sample’s median value. use α = 0.05. (20 points) null hypothesis (h0): _____________________ alternative hypothesis (h1): ________________ type of test: ____________________________ critical value: ____________ or p-value: ____________ test statistic: ____________ conclusion: do you reject the null hypothesis(yes or no)? _________ (show all work.) if someone were to ask what the conclusion means in this particular study, what would you say? sheet1 length (in miles) of 30 random rivers 431 500 926 383 425 538 540 301 360 338 800 800 790 375 380 434 800 659 512 430 485 309 618 605 531 300 420 865 424 652 ____________="" 10.="" if="" someone="" were="" to="" ask="" you="" what="" this="" particular="" confidence="" interval="" means,="" what="" would="" you="" say?="" (3="" points)="" 11.="" test="" the="" hypothesis="" that="" the="" population’s="" mean="" is="" different="" from="" the="" sample’s="" median="" value.="" use="" α="0.05." (20="" points)="" null="" hypothesis="" (h0):="" _____________________="" alternative="" hypothesis="" (h1):="" ________________="" type="" of="" test:="" ____________________________="" critical="" value:="" ____________="" or="" p-value:="" ____________="" test="" statistic:="" ____________="" conclusion:="" do="" you="" reject="" the="" null="" hypothesis(yes="" or="" no)?="" _________="" (show="" all="" work.)="" if="" someone="" were="" to="" ask="" what="" the="" conclusion="" means="" in="" this="" particular="" study,="" what="" would="" you="" say?="" sheet1="" length="" (in="" miles)="" of="" 30="" random="" rivers="" 431="" 500="" 926="" 383="" 425="" 538="" 540="" 301="" 360="" 338="" 800="" 800="" 790="" 375="" 380="" 434="" 800="" 659="" 512="" 430="" 485="" 309="" 618="" 605="" 531="" 300="" 420="" 865="" 424="">