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Consider the following hypotheses: H 0 : mu = 4 5 0 HA: mu ! = 4 5 0 The population is normally

Consider the following hypotheses:
H0: \mu =450
HA: \mu !=450
The population is normally distributed with a population standard deviation of 48.(You may find it useful to reference the appropriate table: z table or t table)
a-1. Calculate the value of the test statistic with x
=476 and n =75.(Round final answer to 2 decimal places.)
a-2. What is the conclusion at the 5% significance level?
multiple choice 1
Do not reject H0 since the p-value is greater than the significance level.
Do not reject H0 since the p-value is less than the significance level.
Reject H0 since the p-value is greater than the significance level.
Reject H0 since the p-value is less than the significance level.
a-3. Interpret the results at \alpha
=0.05.
multiple choice 2
We cannot conclude that the population mean differs from 450.
We conclude that the population mean differs from 450.
We cannot conclude that the sample mean differs from 450.
We conclude that the sample mean differs from 450.
b-1. Calculate the value of the test statistic with x
=437 and n =75.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)
b-2. What is the conclusion at the 1% significance level?
multiple choice 3
Do not reject H0 since the p-value is less than the significance level.
Do not reject H0 since the p-value is greater than the significance level.
Reject H0 since the p-value is less than the significance level.
Reject H0 since the p-value is greater than the significance level.
b-3. Interpret the results at \alpha
=0.01.
multiple choice 4
We cannot conclude that the population mean differs from 450.
We conclude that the population mean differs from 450.
We cannot conclude that the sample mean differs from 450.
We conclude that the sample mean differs from 450.

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