Question

It is required to test whether those who practice yoga have average blood sugar less than 120. A sample consisting of 17 persons who practice yoga is observed. If their mean blood sugar is 108 and *.D. is 8, what would you conclude? (Use 5% level of significance).

Answer 1

Given: µ = 120; n = 17, x̄ = 108; * = 8 α = 5% (n < 30 small samplet-test).

H0 : The average blood sugar is 120 (µ = 120)

H1 : Average blood sugar is less than 120 (µ < 120)

Under H0, the t-test statistic is:-

At α = 5% for (n – 1) = 17 – 1 = 16 d.f. the lower tail critical value – K = – 1.75.

Here tcal **** in R.R.

∴ H0 is rejected and H1 is accepted.

Conclusion: Average blood sugar is less than 120.