The accompanying data is on cube compressive strength (MPa) of concrete specimen

Question

The accompanying data is on cube compressive strength (MPa) of concrete specimens. (a) Is it plausibly that the compressive strength for this type of concrete is normally distributed? (b) Suppose the concrete will be used for a particular application unless 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 appropriate hypotheses. H_0: mu = 100 H_a: mu > 100 H_0: mu = 100 H_a: mu 100 H_a: mu - 100 H_0: mu = 100 H_a: mu notequalto 100 H_0: mu

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 100
HA : < 100

Hypothesis test results:

Hence,

t = -1.35

P - value = 0.1054

Variable Sample Mean Std. Err. DF T-Stat P-value var1 96.46 2.6273857 9 -1.3473469 0.1054

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