Reference no: EM132413589

Cheri has just inherited a cherry orchard from her uncle. In his record books Cheri's uncle hasrecorded that the mean height of all the trees in the orchard is 112 inches with a standard deviation of 14 inches. Cheri is suspicious that her uncle incorrectly recorded the mean height of the cherry trees in the orchard. She samples the heights of 64trees in the orchard and finds a mean of x?= 109 inches. She conducts a two-tailed test at the α = 0.05 level. What conclusion can Cheri draw at the end of her test? Round all interim values to the nearest thousandth if necessary.

Cheri has just inherited a cherry orchard from her uncle. In his record books Cheri's uncle has recorded that the mean height of all the trees in the orchard is 112 inches with a standard deviation of 14 inches. Cheri is suspicious that her uncle incorrectly recorded the mean height of the cherry trees in the orchard. She samples the heights of 64 trees in the orchard and finds a mean of x? = 109 inches. She conducts a two-tailed test at the α = 0.05 level. What conclusion can Cheri draw at the end of her test? Round all interim values to the nearest thousandth if necessary.

State the Hypotheses

H₀:  μ = Blank 1 inches

H₁:  μ Blank 2 Blank 3 inches

Summary of Information

μ = Blank 4 inches

σ = Blank 5 inches

n = Blank 6 cherry trees

x¯ = Blank 7 inches

α = Blank 8

Computed Values

σ_x¯ = Blank 9 inches

z = Blank 10 and Blank 11

p-value = Blank 12

State the Conclusion

We Blank 13 the null hypothesis because the results Blank 14 statistically significant.

Can you conclude that the mean height of cherry trees is different from what Cheri's uncle originally stated? Blank 15