Project #4345 - Statistics - Inference

<!--[if gte mso 9]> Normal.dotm 0 0 1 552 3147 Student 26 6 3864 12.0 <![endif]--><!--[if gte mso 9]> 0 false 18 pt 18 pt 0 0 false false false <![endif]--><!--[if gte mso 9]> <![endif]-->   <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Times New Roman"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} <![endif]-->   <!--StartFragment--> (it says to use minitab to calculate all of these things but you can also just use microsoft excel)     MINITAB Assignment 3 Spring 2013 You will be calculating the mean, standard deviation, and probabilities based on the binomial distribution and calculating probabilities based on the normal distribution. Use MINITAB to calculate these probabilities and to find the means and standard deviations. You will also generate a sampling distribution. Make sure you do the following: 1. Put your name at the top left hand side of your document. 2. Under your name, put STAT250 with your section number. 3. Put MINITAB Assignment 3 centered on top of Page 1. 4. Number and letter the answers accordingly. 5. Use complete and coherent sentences to answer the questions. 6. Copy and paste of all generated graphics into your document. 7. Upload your finished MINITAB Assignment on Blackboard.   <!--[if !supportLists]-->1.     <!--[endif]-->Airline Satisfaction – A CNN/USA Today/Gallup poll in April 2005 reported that 75% of adult Americans were satisfied with the job the nation’s major airlines were doing.  Ten adult Americans are selected at random, and the number who are satisfied is recorded. For parts a-c, copy and paste the MINITAB commands you used and the results found in the Session window. <!--[if !supportLists]-->a.     <!--[endif]-->What is the mean of the number of adult Americans who were satisfied with the job the nation’s major airlines were doing ? <!--[if !supportLists]-->b.     <!--[endif]-->What is the standard deviation of the number of adult Americans who were satisfied with the job the nation’s major airlines were doing? <!--[if !supportLists]-->c.     <!--[endif]-->What is the cumulative distribution of this binomial? <!--[if !supportLists]-->d.     <!--[endif]-->What is the probability that exactly 6 of the 10 adult Americans were satisfied with the job the nation’s major airlines were doing? <!--[if !supportLists]-->e.     <!--[endif]-->What is the probability that fewer than 7 adult Americans were satisfied with the job the nation’s major airlines were doing? <!--[if !supportLists]-->f.      <!--[endif]-->What is the probability that between 5 and 8, inclusive, adult Americans  were satisfied with the job the nation’s major airlines were doing? <!--[if !supportLists]-->g.     <!--[endif]-->What is the probability that 5 or more adult Americans were satisfied with the job the nation’s major airlines were doing? <!--[if !supportLists]-->h.     <!--[endif]-->Would it be unusual to find 3 or fewer  adult Americans who were satisfied with the job the nation’s major airlines were doing?                     <!--[if !supportLists]-->2.     <!--[endif]-->Reading Rates - The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute.  For each part, copy and paste the commands you used and the results found in the Session window along with the answer or show the graph or answer in Session window if you used the drop down commands. <!--[if !supportLists]-->a.     <!--[endif]-->What is the probability that a randomly selected sixth-grade student reads less than 100 words per minute? <!--[if !supportLists]-->b.     <!--[endif]-->What is the probability that a randomly selected sixth-grade student reads more than 140 words per minute? <!--[if !supportLists]-->c.     <!--[endif]-->What is the probability that a randomly selected sixth-grade student reads between 110 and 130 words per minute? <!--[if !supportLists]-->d.   <!--[endif]-->Would it be unusual for a sixth-grader to read more than 200 words per minute? Why (show what the probability is)?   <!--[if !supportLists]-->3.     <!--[endif]-->Oil Change.  The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown.  However, records indicate that the mean time for an oil change is 11.4 minutes, and the standard deviation for oil-change time is 3.2 minutes.   -   If the probability can be determined, copy and paste the commands you used and the results found in the Session window along with the answer or show the graph or answer in Session window if you used the drop down commands. <!--[if !supportLists]-->-   <!--[endif]-->If the probability cannot be determined, then answer: “Probability cannot be determined with information given.” <!--[if !supportLists]-->a.     <!--[endif]-->What is the probability that a random sample of n = 14 oil changes results in a sample mean time of less than 10 minutes? <!--[if !supportLists]-->b.     <!--[endif]-->What is the probability that a random sample of n = 48 oil changes results in a sample mean time of less than 10 minutes? <!--EndFragment-->

Subject Mathematics
Due By (Pacific Time) 04/14/2013 11:55 pm
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