Question

Technology Project Use Statdisk, Minitab, Excel, StatCrunch, a TI-83/84 Plus calculator, or any other software package or calculator capable of generating equally likely random digits between 0 and 9 in- clusive. Generate 5000 digits and record the results in the accompanying table. Use a 0.05 significance level to test the claim that the sample digits come from a population with a uniform distribution (so that all digits are equally likely). Does the random number generator appear to O10 9 be working as it should? Digit 0 1 2 3 4 5 6 7 Frequency Statdisk: Select Data, then Uniform Generator. Minitab: Select Calc, Random Data, Integer. Click Insert function f, then select category Math & Trig and function RANDBETWEEN. Click and drag cell down the column to generate ad- ditional random numbers. Excel: Press MATH, select PROB, then use randInt function with the format of randInt(lower, upper, n). TI-83/84 Plus: Discrete Uniform. StatCrunch: Select Data, Simula

Answer 1

Solution Givem Digit 3 the foreueny assumed Heae 5a5 539 48 나95- |frepurany 483 Noc to find the Value Expeded Zobseved ExPecte Valur SOoo S00 tind Chi-szuane test Statisticg x (o-EE 496-500)2 obseavedvalue Expected Valu e 496 500 Soo (u74 -500)2 500 3 S2 474 S00 /490- S00) 500 0.2 500 4es- 500) 5o0 0 288 500 415-500) 500 0.0S 495 500 500 (483-500 O-S18 & 8t 500 500 488-500) 2 0 288 Sdo 500 (531-S00)2 539 3.042 S00 S00 (505-S00) 2 O.0S Sou 542-500) 542 3.528 500 Eobseved 3.528

Eoi-E2 E 9.40 Noc df df */Nocs to find P-value Aesre using the values of X1.40s) and df 4) the P-value then Ce get P- Value 0.4005 Decision Pvalue (o.k005) Hone d lo.05) Jreate tham significance level the P-value s at hypothesis (H) mult thesrefe fail to 91eject the we 0-05 evel of Signifiance Cnclusion Evidence to Conclude that the at distoibution Thesie is insufficient O.0S digits Sample level of sifiamce