A researcher conducted a study to see if there are differences in mean prostate-specific antigen (PSA) levels between men aged 50 years (μ₁) and men aged years (μ₂). The researcher hypothesizes that there will be a difference in mean PSA between the two groups. We are assuming that PSA levels have a symmetric distribution. The 95% confidence interval for the difference in mean PSA between age groups was (0.2, 6.0). What can you conclude from this confidence interval? A) We are 95% confident that the estimated mean PSA level for men aged years is 0.2 and for men 50 years is 6.0. B) We are 95% confident that mean PSA levels between the two groups are the same. C) We are 95% confident that the mean PSA levels between the two groups are different. D) We do not have enough information to form a conclusion.

Question

A researcher conducted a study to see if there are differences in mean prostate-specific antigen (PSA) levels between men aged >50 years (μ₁) and men aged years (μ₂). The researcher hypothesizes that there will be a difference in mean PSA between the two groups. We are assuming that PSA levels have a symmetric distribution. The 95% confidence interval for the difference in mean PSA between age groups was (0.2, 6.0). What can you conclude from this confidence interval? A) We are 95% confident that the estimated mean PSA level for men aged years is 0.2 and for men >50 years is 6.0. B) We are 95% confident that mean PSA levels between the two groups are the same. C) We are 95% confident that the mean PSA levels between the two groups are different. D) We do not have enough information to form a conclusion.

Quizplus · Accepted Answer

Because our confidence interval does not include 0, we have sufficient evidence to conclude that there are differences in mean PSA levels between men aged >50 years and men aged 11ec687a_a4e3_6fa0_84a2_f336ab7a5a64_TB34225555_1150 years.

A Researcher Conducted a Study to See If There Are