Question 1197695
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Ho:  µ = 48.8
Ha:  µ > 48.8
n = 34, x̄ = 53.8    s = 6
As population sd is not known, used a t-test vs a z- test (either is fine n >30)
0.10 significance level,  Critical value = 1.3077  (df 33)
{{{t =blue (53.8 - 48.8)/(blue(6)/sqrt(34))}}}  = 4.859
 4.859 >  1.3077  Reject Ho
P(z ≤ 4.859, df 33) = .00001 < .05 Reject Ho

If Using a Standard z-Distribution: 
 4.859 >  1.282  Reject Ho
P(z ≤ 4.859) = .0000006 < .05 Reject Ho
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