Answer
We reject the null hypothesis because there is enough evidence to support the claim that the average strawberry is less than 200.
Work Step by Step
Step 1: State the hypotheses and identify the claim.
$$H_0: \mu =200\\H_1: \mu \lt 200$$
Step 2: Find the critical value(s).
$$ At \ \alpha = 0.05 \ and\ d.f. = 9, \ the \ critical\ value\ is\ -1.833 $$
Step 3: Find the test value.
$$t=\frac{\bar x −μ}{\frac{s}{\sqrt{n}}} = \frac{185.2−200}{\frac{10}{\sqrt{10}}} ≈ -4.68\\$$
Step 4: Make the decision.
Reject the null hypothesis since -4.68 falls in the critical region.
Step 5: Summarize the results.
There is enough evidence to support the claim that the average strawberry is less than 200.
