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. 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) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-2-1 Confidence Interval (INTR) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] Press i to clear the pointer from the display. # Graphing is available with Two-Way ANOVA only. V-Window settings are performed automatically, regardless of SET UP screen settings. 20010101 # Using the TRACE function automatically stores the number of conditions to alpha variable A and the mean value to variable M, respectively. 1-2-24 Tests (TEST) k ANOVA (Two-Way) u Description The nearby table shows measurement results for a metal product produced by a heat treatment process based on two treatment levels: time (A) and temperature (B). The experiments were repeated twice each under identical conditions. B (Heat Treatment Temperature) A (Time) A1 A2 B1 113 , 133 , B2 116 139 , 131 126 , 132 122 Perform analysis of variance on the following null hypothesis, using a significance level of 5%. 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. · 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. 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. 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. [. . . ] Calculation Result Output Example p . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Poisson probability # There is no graphing for Poisson distribution. 20011101 20010101 1-4-20 Distribution (DIST) u Poisson Cumulative Density Poisson cumulative density calculates a cumulative probability at specified value for the discrete Poisson distribution with the specified mean. 5(DIST) g(Poissn) c(C. D) The following shows the meaning of each item when data is specified using list specification. list whose contents you want to use as specified data (List 1 to 20) µ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ]