1. Consider the following hypotheses:
H_{0}: μ = 420
H_{A}: μ ≠ 420
The population is normally distributed with a population standard
deviation of 72.
a-1. Calculate the value of the test statistic
with x−x− = 430 and n = 90. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. What is the conclusion at the 1% significance
level?
Reject H_{0} since the p-value is less than the significance level.
Reject H_{0} since the p-value is greater than the significance level.
Do not reject H_{0} since the p-value is less than the significance level.
Do not reject H_{0} since the p-value is greater than the significance level.
a-3. Interpret the results at αα = 0.01.
We conclude that the population mean differs from 420.
We cannot conclude that the population mean differs from 420.
We conclude that the sample mean differs from 420.
We cannot conclude that the sample mean differs from 420.
b-1. Calculate the value of the test statistic
with x−x− = 392 and n = 90. (Negative value should
be indicated by a minus sign. Round intermediate calculations to at
least 4 decimal places and final answer to 2 decimal
places.)
b-2. What is the conclusion at the 10%
significance level?
Reject H_{0} since the p-value is greater than the significance level.
Reject H_{0} since the p-value is less than the significance level.
Do not reject H_{0} since the p-value is greater than the significance level.
Do not reject H_{0} since the p-value is less than the significance level.
b-3. Interpret the results at αα = 0.10.
We conclude that the population mean differs from 420.
We cannot conclude that the population mean differs from 420.
We conclude that the sample mean differs from 420.
We cannot conclude that the sample mean differs from 420.
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