User manual CASIO ALGEBRA FX ADDITIONAL FUNCTIONS

[. . . ] ALGEBRA FX 2. 0 PLUS FX 1. 0 PLUS User's Guide 2 (Additional Functions) E http://world. casio. com/edu_e/ CASIO ELECTRONICS CO. , LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U. K. Important!Please keep your manual and all information handy for future reference. · · · · · · · · · · · · · · · · · · · · ····· ····· ····· ··· ··················· ··················· ··················· ··················· ALGEBRA FX 2. 0 PLUS FX 1. 0 PLUS (Additional Functions) ··················· ··················· ··················· ··················· ··················· ··················· · · · · ··················· ··················· ····· · · · ····· · · · ····· · · · ··· · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 20010101 1 Contents Contents Chapter 1 Advanced Statistics Application 1-1 1-2 1-3 1-4 Advanced Statistics (STAT) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-1-1 Tests (TEST) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] Ho : No change in strength due to time Ho : No change in strength due to heat treatment temperature Ho : No change in strength due to interaction of time and heat treatment temperature u Solution Use two-way ANOVA to test the above hypothesis. List1={1, 1, 1, 1, 2, 2, 2, 2} List2={1, 1, 2, 2, 1, 1, 2, 2} List3={113, 116, 139, 132, 133, 131, 126, 122 } Define List 3 (the data for each group) as Dependent. Define List 1 and List 2 (the factor numbers for each data item in List 3) as Factor A and Factor B respectively. Executing the test produces the following results. · Time differential (A) level of significance P = 0. 2458019517 The level of significance (p = 0. 2458019517) is greater than the significance level (0. 05), so the hypothesis is not rejected. · Temperature differential (B) level of significance P = 0. 04222398836 The level of significance (p = 0. 04222398836) is less than the significance level (0. 05), so the hypothesis is rejected. · Interaction (A × B) level of significance P = 2. 78169946e-3 The level of significance (p = 2. 78169946e-3) is less than the significance level (0. 05), so the hypothesis is rejected. The above test indicates that the time differential is not significant, the temperature differential is significant, and interaction is highly significant. 20011101 20010101 1-2-25 Tests (TEST) u Input Example u Results 20010101 1-3-1 Confidence Interval (INTR) 1-3 Confidence Interval (INTR) A confidence interval is a range (interval) that includes a statistical value, usually the population mean. A confidence interval that is too broad makes it difficult to get an idea of where the population value (true value) is located. A narrow confidence interval, on the other hand, limits the population value and makes it difficult to obtain reliable results. The most commonly used confidence levels are 95% and 99%. Raising the confidence level broadens the confidence interval, while lowering the confidence level narrows the confidence level, but it also increases the chance of accidently overlooking the population value. With a 95% confidence interval, for example, the population value is not included within the resulting intervals 5% of the time. When you plan to conduct a survey and then t test and Z test the data, you must also consider the sample size, confidence interval width, and confidence level. The confidence level changes in accordance with the application. 1-Sample Z Interval calculates the confidence interval for an unknown population mean when the population standard deviation is known. 2-Sample Z Interval calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known. 1-Prop Z Interval calculates the confidence interval for an unknown proportion of successes. 2-Prop Z Interval calculates the confidence interval for the difference between the propotion of successes in two populations. 1-Sample t Interval calculates the confidence interval for an unknown population mean when the population standard deviation is unknown. 2-Sample t Interval calculates the confidence interval for the difference between two population means when both population standard deviations are unknown. On the initial STAT Mode screen, press 4 (INTR) to display the confidence interval menu, which contains the following items. [. . . ] executes a caluculation The following shows the meaning of a parameter data specification item that is different from list data specification. x . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( x > 0) After setting all the parameters, align the cursor with [Execute] and then press the function key shown below to perform the calculation. Calculation Result Output Example p . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Poisson cumulative probability 20011101 20010101 1-4-21 Distribution (DIST) k Geometric Distribution u Geometric Probability Geometric probability calculates the probability at a specified value, and the number of the trial on which the first success occurs, for the geometric distribution with a specified probability of success. [. . . ]