Question

-4.16 painta DevenaID BE.027 My Notes Ask Your The acccmpanying data is on cube compressive strength (MPa of concrete specimens. 99.5 95.8 103.5 89.0 B6.7 ais it plausible that the compressiva strength for this type of concreta is nonmally dstrouted? The nermal probability plct is not acceptably linear, sgesting that a normal populetion distribution is not plausible. The nermal probablity pict is eccestably linear, suggesting that a normal pepulation distnbution is not plausible Tha normal probability plot is accetably linear, suggesting that a narmal pepulation distrbution is plausible Tha normal prabability plot is nat acceptably inear, suggesting that a normal population distribution is plausible Co) Suppose the concrete wil be used for a particular applicaticn urless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses State the apprcpriate hypotheses. i100 i 100 rip: μ > 100 i 100 : 100 Mg: μ 100 100 : μ > 100 Calculate the sest staisic and determine the P-value. (Round your test statstic to two deamal places and your Pvalue to four decimal places.) P-value hat can you condude? There is streng evidence thst the true average strength is less than 100 MFa. The concrete should nat be used Thare is nct strong avidence that the true average strength is less than 1D0 MPa. The concrete should be used Need Help? Redt Tak to a Tuter

Answer 1

The statistical software output for this problem is:

One sample T hypothesis test:

μ : Mean of variable
H₀ : μ = 100
H_A : μ < 100

Hypothesis test results:

Variable	Sample Mean	Std. Err.	DF	T-Stat	P-value
Data	96.45	2.6153075	9	-1.357393	0.1039

Hence,

a) Option C is correct.

b) Hypotheses: Option B is correct.

t = -1.36

P - value = 0.1039

Conclusion: Option B is correct.