HP 39GS HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 208
UTPC(<degrees>, <value>), UTPF(<numerator>, <denominator>
UPC - 808736931328
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The second value can be found by using the symmetry properties of the Normal Distribution, but it is probably just as fast to go back to the SYMB view, change the 0.1 to 0.9 and then re- . Remember that an key is provided in the SYMB view to allow you to change the expression without having to retype it. Final answer... 47.06% and 82.94% are the cut-offs. Calculator Tip The normal order for the arguments in the UTPN function is UTPN(mean, variance, value) and this results in the upper-tailed probability. However, many textbooks work with the lower-tailed probability instead. Fortunately the function can easily be adapted for this. If you instead enter the function's parameters as UTPN(value, variance, mean), reversing the normal positions of value and mean, then the probability given will be the lower-tailed value. The reason for this lies in the symmetry properties of the normal curve. UTPC(,) This is the Upper-Tailed Chi-Squared probability function. It returns the probability that a χ 2 distribution with the supplied number of degrees of freedom is greater than the value supplied. See page 147 for an example of this function's use. UTPF(,,) This is the Upper-Tailed Snedecor's F probability function. It returns the probability that a Snedecor's F distribution with numerator degrees of freedom (and denominator degrees of freedom in the F distribution) is greater than the supplied value. UTPT(,) This is the Upper-Tailed Student's t probability function. It returns the probability that a Student's t distribution with the supplied number of degrees of freedom is greater than the supplied value. 208