Question

A researcher is testing a claim that the mean wing span of bald eagles mean wing span is 22ft. He takes a simple random sample of 40 bald eagles and gets a sample mean of 24.6ft and a sample

standard deviation of 3.5ft. Find the test statistic, t=

Answer 1

The test statistic (t) for the claim about bald eagles' wingspan is approximately 4.66, calculated using the sample mean, hypothesized population mean, sample standard deviation, and sample size.

Step-by-step explanation:

To find the test statistic (t) for the researcher's claim that the mean wingspan of bald eagles is 22ft, we can use the formula for the t-statistic in a one-sample t-test:

t = (\bar{x} - \mu) / (s / \sqrt{n})

Where:

• \(\bar{x}\) is the sample mean (24.6ft)
• \(\mu\) is the hypothesized population mean (22ft)
• s is the sample standard deviation (3.5ft)
• n is the sample size (40)

Plugging in the values we get:

t = (24.6 - 22) / (3.5 / \sqrt{40})

t = 2.6 / (3.5 / 6.3246)

t = 4.66 (rounded to two decimal places)

The test statistic is therefore approximately 4.66.

Answer 2

356 is the answer I think