Math  /  Data & Statistics

Question1
In Country A, the population mean height for 3-year-old boys is 39 inches. Suppose a random sample of 153 -year-old boys from Country B showed a sample mean of 38.7 inches with a standard deviation of 4 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05 .
Which of the following correctly states H0\mathrm{H}_{0} and Ha\mathrm{H}_{a} ? A. H0:μ=39H0:μ39\begin{array}{l}H_{0}: \mu=39 \\ H_{0}: \mu \neq 39\end{array} H0:μ39H_{0}: \mu \geq 39 c. H0:μ=39H_{0}: \mu=39 B. Ha:μ<39H_{a}: \mu<39 . Ha:μ<39H_{a}: \mu<39
H0:μ>39H_{0}: \mu>39 D. Ha:μ39H_{a}: \mu \leq 39 H0:μ39H_{0}: \mu \neq 39 F. H0:μ=39Ha:μ>39\begin{array}{l}H_{0}: \mu=39 \\ H_{a}: \mu>39\end{array}

Studdy Solution
Make a decision to accept or reject the null hypothesis.
Since the calculated t-value 0.929-0.929 is within the range 1.976-1.976 to 1.9761.976, we fail to reject the null hypothesis.
Conclusion: There is not enough evidence to suggest that the population mean height for Country B boys is significantly different from the Country A mean at the 0.05 significance level.

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