Question

A blogger claims that U.S. adults drink an average of five 8-ounce glasses of water per day. Skeptical researchers ask a random sample of 24 U.S. adults about their daily water intake. A graph of the data shows a roughly symmetric shape with no outliers. The figure below displays Minitab output for a one-sample t interval for the population mean. Is there convincing evidence at the $10\%$significance level that the blogger’s claim is incorrect? Use the confidence interval to justify your answer.

Short answer

There is sufficient proof to infer that case of site is inaccurate at $5\%$significance level.

Step-by-step solution

Given information

Given in the question that, A blogger claims that U.S. adults drink an average of five -$8$ounce glasses of water per day. Skeptical researchers ask a random sample of$24$U.S. adults about their daily water intake. A graph of the data shows a roughly symmetric shape with no outliers. The figure below displays Minitab output for a one-sample t interval for the population mean.

We need to find that the blogger’s claim is incorrect at the$10\%$significance level.

Explanation

The output is,

From the above output, the $95\%$ confidence interval is $(3.794,4.615)$. It means that there are $90\%$chances that typical intake of water is somewhere in the range of $3.794$ and $4.615$. Here, 5 doesn't lie in the registered confidence interval. In this manner, there is sufficient proof to infer that case of site is inaccurate at $5\%$significance level.