Answer:
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
Step-by-step explanation:
From the given information:
The null hypothesis and alternative hypothesis is given as:
[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]
And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]
The significance level ∝ = 1 - 0.99 = 0.01
We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.
Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01
∴
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
