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In order to conduct a hypothesis test for the population mean, a random sample of 9 observations is drawn from a normally distributed population.
In order to conduct a hypothesis test for the population mean, a random sample of 9 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 5.3 and 1.4, respectively. Use Table 2.
Use the p-value approach to conduct the following tests at α = 0.01.
H0: μ ≤ 4.5 against HA: μ > 4.5
a-1.
Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
Test statistic
a-2.
Approximate the p-value. 0.020 < p-value < 0.0500.010 < p-value < 0.0200.050 < p-value < 0.100p-value < 0.01p-value 0.1
a-3.
What is the conclusion? Do not reject H0 since the p-value is greater than α.Do not reject H0 since the p-value is less than α.Reject H0 since the p-value is greater than α.Reject H0 since the p-value is less than α.
H0: μ = 4.5 against HA: μ ≠ 4.5
b-1.
Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
Test statistic
b-2.
Approximate the p-value. 0.050 < p-value < 0.1000.010 < p-value < 0.0200.100 < p-value < 0.200p-value < 0.01p-value 0.2
b-3.
What is the conclusion? Reject H0 since the p-value is less than α.Reject H0 since the p-value is greater than α.Do not reject H0 since the p-value is less than α.Do not reject H0 since the p-value is greater than α.
