Math  /  Data & Statistics

QuestionKeep cool: Following are prices, in dollars, of a random sample of ten 7.5-cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubic-foot refrigerators is less than $370\$ 370. Do the data provide convincing evidence of this claim? Use the α=0.01\alpha=0.01 level of significance and the PP-method with the
Critical Values for the Student's t Distribution Table. \begin{tabular}{lllll} \hline 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotplot shows that there are no \quad outliers. The dotplot shows that there is no evidence of strong skewness.
We \square can assume that the population is approximately normal.
It \square is reasonable to assume that the conditions are satisfied.
Part: 1/61 / 6
Part 2 of 6
State the appropriate null and alternate hypotheses. H0H_{0} : \square \square < \square \square \square \square \square H1H_{1} : \square\square μ\mu

Studdy Solution
Draw a conclusion:
- If the t-statistic is less than the critical value, reject the null hypothesis. - Otherwise, do not reject the null hypothesis.
The conclusion will depend on the calculated t-statistic and the critical value from the t-table. If the t-statistic is significantly lower than the critical value, it provides convincing evidence that the mean price is less than $370.

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