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

ID: 3364395 • Letter: #

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 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 7.7 and 2.0, respectively. Use Table 2.

Use the p-value approach to conduct the following tests at = 0.10.

a-1.

Calculate the value of the test statistic. (Round your answer to 2 decimal places.)



a-2.


a-3.



b-1.

Calculate the value of the test statistic. (Round your answer to 2 decimal places.)



b-2.


b-3.

In order to conduct a hypothesis test for the population mean, a random sample of 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 7.7 and 2.0, respectively. Use Table 2.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 6.6
HA : > 6.6

Hypothesis test results:

Hence,

a - 1) Test statistic = 2.06

a - 2) 0.025 < p-value < 0.050

a - 3) Reject H0 since the p-value is less than .

b - 1) Test statistic = 2.06

b - 2) 0.050 < p-value < 0.100

b - 3) Reject H0 since the p-value is less than .

Mean Sample Mean Std. Err. DF T-Stat P-value 7.7 0.53452248 13 2.0579116 0.0301