Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(Round all intermediate calculations to at least 4 decimal places.) Consider the

ID: 3323956 • Letter: #

Question

(Round all intermediate calculations to at least 4 decimal places.)

Consider the following hypotheses:

The population is normally distributed. A sample produces the following observations:

Use the critical value approach to conduct the test at a 1% level of significance. Use Table 2.

Find the mean and the standard deviation. (Round your answer to 2 decimal places.)


Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)


Calculate the critical value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

(Round all intermediate calculations to at least 4 decimal places.)

Consider the following hypotheses:

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 80
HA : < 80

Hypothesis test results:

Hence,

a) Mean = 69

Standard deviation = 7.75

b) Test statistic = -3.48

c) Critical value = -3.365

d) Reject H0 since the value of the test statistic is less than the negative critical value.

Option C is correct.

Variable Sample Mean Std. Err. DF T-Stat P-value Data 69 3.1622777 5 -3.4785054 0.0088