Step 1 :Set up the null and alternative hypotheses. The null hypothesis is that the population mean is equal to 120 mm Hg, and the alternative hypothesis is that the population mean is greater than 120 mm Hg.
Step 2 :Calculate the test statistic using the formula for a one-sample t-test, which is (sample mean - population mean) / (standard deviation / sqrt(sample size)). The test statistic is approximately \(\boxed{0.79}\).
Step 3 :Find the p-value associated with this test statistic. The p-value is approximately \(\boxed{0.215}\).
Step 4 :Compare the p-value with the significance level. Since the p-value is greater than the significance level of 0.10, we do not reject the null hypothesis.
Step 5 :State the conclusion in the context of the problem. There is not enough evidence at the 0.10 significance level to support the claim that the sample is from a population with a mean systolic blood pressure level greater than 120 mm Hg.