Yeu are a marketing espert for a compary that grmduces a new kind of energy bar.

Question

Yeu are a marketing espert for a compary that grmduces a new kind of energy bar. Yos want ti pravie wwidence tbat onsuning the new bar 1 hour before engaging in strenunus exercise sf a long duration-such as uing marathon-ll have an effet on perfurmancs. You decide to conduct a test at an annal halt-marathon race Because the cnurse and conditions for this year and last year are simlar, you decide to pruvide the bar to 40 randomly selected partiopants wto afse participubed last year and compare theer times bstween this year and last The average time of your sampke ths year when thery consumed the bar (TWITHBAR)s 2 hours and 24 minutes 12:24, ar 144 minutes. The sverage bime of your sample last year when they did not consume the bar (TWITHOUTBAR) s 2 hours and 28 mutes 2:2?, ar mnthes). Veu use a stacistical eerputing package to conduct a repeated-reasurvs t tret. The tolowing tables lst the output Paired-Samples Statistics MeanNDeviation Par TwITHOUTBAR 148 40 144 40 27.98 Paired-Samples Correlations Pari TWITHOUTBAR &TWITHBAR; Interval of the Pair 1 4.00 415 05 39 .30t WITHOUTBAK TWITHBAR Glven these resuits, which is the most acourabe statemert you can present to the board of the energy bar compaty conceming the resuts of your stuty? (Assurra th industry's standard ix to uno a two-tailed test with a signficance O There was no evidarcs that consuring the enersy bar 1 hour teelore the race had an effect an performance, 39)-t.05, p 0.301 Corsuing the energy har I hour before the race had a significent effect an perfarmance, 39)1.0s, p o.301. Farticipents ran an Consuming the energy bar 1 hour befora the racas had a sigrifcant ettect on pertarmance, t(a)-1.05p- O when they consumed the snergy har O .05. Particparts ran an arverage of 4 minutes faster when thery corvaumed the energy bo. Thare wes no evidence that consuming the nergy bar 1 hour berlare the race fot an effect on porFormance (40)-4.00,p-0.30 0 Suppase the compeny produces marketing moterials ching your stusty and clwiming that eating the anergy bar mpraves parformance (repardess f the fndngs were sigrificant or not dgnificant) Suppose aloo that the CEO at a empeting snergy bar comperry criticices your indings wech of the fabowing criticisns may te a vald point in sputing your fndis The coUrSE Was ner last year O The partoipants who ate the evergy bar were charoctorbsicaly dfferent ths thase wha adnt eat the energs O The course was easer this year

Explanation / Answer

Question 1) There was no evidence that consuming energy bar 1 hour before the race had an effect on performance. t(39) = 1.05 and P-value = 0.301

Since P-value > 0.05 , so we fail to reject the null hypothesis.

Question 2) Option 2

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