Question

(Round all intermediate calculations to at least 4 decimal places.) In order to conduct a hypothesis test for the population mean, a random sample of 15 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 8.6 and 1.8, respectively. Use Table 2 Use the p-value approach to conduct the following tests at a0.10 HO-us 7.3 against HA > 7.3 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 <0.050 0.010<p-value<0.020 0.005<p-value<0.010 p-value 0.005 p-value0.05 a-3. What is the conclusion? Reject Ho since the p-value is less than ? O Reject Ho since the p-value is greater than ? Do not reject Ho since the p-value is less than ? Do not reject Ho since the p-value is greater than ? Ho: -7.3 against HA: #7.3 b-1. Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Test statistic

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H₀ : ? = 7.3
H_A : ? > 7.3

Hypothesis test results:

Mean	Sample Mean	Std. Err.	DF	T-Stat	P-value
?	8.6	0.464758	14	2.7971546	0.0071

Hence,

a - 1) Test statistic = 2.80

a - 2) 0.005 < p-value < 0.010

a - 3) Conclusion: Option A is correct.

b - 1) Test statistic = 2.80