$$ H_{0}: \mu_{a}-\mu_{b}=0 $$ $$ H_{a}: \mu_{a}-\mu_{b}0 $$ In a large sample, $$ \bar{x}_{a}-\bar{x}_{b}=3.376 $$ with a standard error of 2.034 Compute the test statistic using the general formula for a test statistic: test statistic $$ =\frac{ ext { sample statistic-null parameter }}{ ext { standard error }} $$ Round your final answer to three decimal places.

Question

$$ H_{0}: \mu_{a}-\mu_{b}=0 $$ $$ H_{a}: \mu_{a}-\mu_{b}>0 $$ In a large sample, $$ \bar{x}_{a}-\bar{x}_{b}=3.376 $$ with a standard error of 2.034 Compute the test statistic using the general formula for a test statistic: test statistic $$ =\frac{	ext { sample statistic-null parameter }}{	ext { standard error }} $$ Round your final answer to three decimal places.

UpStudy AI · Accepted Answer

Given:

- $$ H_{0}: \mu_{a}-\mu_{b}=0 $$
- $$ H_{a}: \mu_{a}-\mu_{b}>0 $$
- Sample statistic: $$ \bar{x}_{a}-\bar{x}_{b}=3.376 $$
- Standard error: $$ 2.034 $$

The test statistic is calculated as

$$
\text{test statistic} = \frac{\text{sample statistic} - \text{null parameter}}{\text{standard error}}
$$

Since the null parameter is $$0$$,

$$
\text{test statistic} = \frac{3.376 - 0}{2.034}
$$

$$
\text{test statistic} \approx \frac{3.376}{2.034} \approx 1.660
$$

Thus, the test statistic rounded to three decimal places is $$1.660$$.
The test statistic is approximately 1.660.

In a large sample, with a standard error of
2.034
Compute the test statistic using the general formula for a test
statistic:
test statistic
Round your final answer to three decimal places.

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In a large sample, with a standard error of 2.034 Compute the test statistic using the general formula for a test statistic: test statistic Round your final answer to three decimal places.