Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population? Use a one-tailed test with LaTeX: \alphaα. = .05

Step-by-step explanation:

Null hypothesis, H₀ : μ ≥ 4.22

Alternative hypothesis, H₁ : μ < 4.22

Level of significance, ∝ = 0.05

Test statistic value Z = M₂ - μ / (δ/ √n)

                                   = 4.01 - 4.22 / 0.60 / √25

                                    = -1.75

P- value

P-value = P(Z < -1.75)

= P( Z ≤ -1.75)

= (=NORMSDIST(1.75))             (Use Ms Excel Function)

= 0.04005916

=0.0401

Decision: Reject  H₀ because the P-value is less than the 0.05 level of significance.

Conclusion, there is sufficient evidence that the number of snacks eaten by healthy-weight students is significantly less than the number for the general population at the 0.05 level of significance.

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step-by-step explanation: