characteristic or measure obtained using data values from a specific sample. The Measures of Central Tendency are: • The Mean • The Median • The Mode • The Midrange • The Mean The mean is the sum of the values‚ divided by the total number of values. Sample mean: [pic] where n is the sample size Population mean: [pic] where N is the population size • The Median The median of a data set is the value in
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Inference About Means and Proportions with Two Populations Learning Objectives 1. Be able to develop interval estimates and conduct hypothesis tests about the difference between two population means whenandare known. 2. Know the properties of the sampling distribution of . 3. Be able to use the t distribution to conduct statistical inferences about the difference between two population means whenandare unknown. 4. Learn how to analyze the difference between two population means when the samples
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equation 2 to find out probability: F(t)=1 – e^-Lt 1-e^-(0.4167)(10) = 0.98 almost certainty. This shows that probability of another arrival in the next 10 minutes. Now we figure out how many customers actually arrive within those 10 minutes. If the mean is 0.4167‚ then 0.4167*10=4.2‚ and we can round that to 4. X-axis represents minutes (0-10) Y-axis represents number of people. We can conclude from this chart that the highest point with the most visitors is in the beginning of the 10 minutes
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Averages (MA). The store will use a 3-day and 5-day moving average to determine future customer demands. Table 1: 3-Day and 5-Day Moving Average Forecasts (Geraniums) Days |Demand |3-Day MA |5-Day MA |3-Day MA Error |5-Day MA Error |3-Day Mean Abs. Dev. |5-Day Mean Abs. Dev. | |1 |200 | | | | | | | |2 |134 | | | | | | | |3 |157 | | | | | | | |4 |165 |164 | |1 | |1 | |
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Yes No 5. I feel happy most of the day: Yes No Yes = 1; No = 0 The mean on this test is 3.5 with a standard deviation of .5. Follow-Up Questions 1. SALLY SCORES 1.5 ON THIS TEST. HOW MANY STANDARD DEVIATIONS IS SALLY FROM THE MEAN? (SHOW YOUR CALCULATIONS) Sally score (1.5) is below the means (3.5) Sally’ score –mean (1.5-3.5) = -2 -2/.5= -4 Sally’s standard deviations from the means 2. Billy scores 5. What is his standard score? In statistics‚ a standard
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Process Capability Assessment Control Charts for Individual Measurements Cumulative-Sum control charts Control Charts for Large Sample . . Statistical Process Control - Part II IE 330‚ Spring 2013‚ Instructor: Yu-Ching Lee March 14‚ 2013 1 / 127 Process Capability Assessment Control Charts for Individual Measurements Cumulative-Sum control charts Control Charts for Large Sample Use of the histogram Process Capability Indices Statistical Assignment of Tolerances Loss
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restaurant. The definition of a population is an entire collection of items from which one can collect and formulate data. From the collection of times above‚ one can begin to analyze different aspects such as mean‚ median and standard deviation. b. Find the mean of the times. The mean can be found by adding all of the values of the times and dividing that by the number of times. - 28+39+23+67+37+28+56+40+28+50+51+45+44+65+61+27+24+61+34+44+64+25+24+27+29 = 1021/25 = 40.84 = 41
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Set 1 1. A genetics law says that children having one parent of blood group M and the other parent of blood group N will always be one if the three blood groups M‚ MN‚ N and that the average number of children in these groups will be in the ratio 1 : 2 : 1. The report on an experiment states as follows: “Of 162 children having one M parent‚ and one N parent‚ 28.4% were found to be of group M‚ 42% of group MN and the rest of the group N.” Do the data in the report conform to the expected genetic
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use of the Empirical Rule When the mean=median and the values often tend to cluster around the mean and median‚ producing a bell-shaped distribution. Then we can use the empirical rule to examine the variability. Usually in this bell-shaped data set‚ we can calculate the mean the standard deviation. The mean means the average value of this set of data. The standard deviation means the average scatter around the mean. If we allow[pic]to represents the mean and[pic]to represents the standard deviation
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limited‚ they can’t concentrate in class‚ and their imaginations are crippled. They can’t tell a story‚ they can’t read‚ and they can forget an event‚ just right after it happened‚ all thanks to TV. Their attention span has been decreased by TV‚ which means that they can’t keep up in class for more than a few minutes‚ and afterwards they start to talk with others‚ or maybe play games on their computer. On the other hand‚ if they didn’t watch TV‚ they wouldn’t be updated in local news. But somehow it is
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