Question

Consider the following hypotheses: ??: ? ? 155 ??: ? < 155 The population is normally distributed. A sample produces the following observations: 135 155 141 153 133 143 Conduct the test at the 5% level of significance. (You may find it useful to reference the appropriate table: z table or t table) a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b. Find the $p$-value. 0.01 ? $p$-value < 0.025 $p$-value < 0.01 $p$-value ? 0.10 0.05 ? $p$-value < 0.10 0.025 ? $p$-value < 0.05 c. What is the conclusion? Do not reject $H_0$ since the $p$-value is less than the significance level. Do not reject $H_0$ since the $p$-value is greater than the significance level. Reject $H_0$ since the $p$-value is less than the significance level.

          Consider the following hypotheses:
??: ? ? 155
??: ? < 155
The population is normally distributed. A sample produces the following observations:
135 155 141 153 133 143
Conduct the test at the 5% level of significance. (You may find it useful to reference the appropriate
table: z table or t table)
a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic
b. Find the $p$-value.
0.01 ? $p$-value < 0.025
$p$-value < 0.01
$p$-value ? 0.10
0.05 ? $p$-value < 0.10
0.025 ? $p$-value < 0.05
c. What is the conclusion?
Do not reject $H_0$ since the $p$-value is less than the significance level.
Do not reject $H_0$ since the $p$-value is greater than the significance level.
Reject $H_0$ since the $p$-value is less than the significance level.

Consider the following hypotheses:
??: ? ? 155
??: ? < 155
The population is normally distributed. A sample produces the following observations:
135 155 141 153 133 143
Conduct the test at the 5% level of significance. (You may find it useful to reference the appropriate
table: z table or t table)
a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic
b. Find the p-value.
0.01 ? p-value < 0.025
p-value < 0.01
p-value ? 0.10
0.05 ? p-value < 0.10
0.025 ? p-value < 0.05
c. What is the conclusion?
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.

Added by Ronald C.

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