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Posted: **Wed Jul 06, 2022 12:20 pm**

: Question 8 Of 15 View Policies Current Attempt In Progress One Of The Authors Wanted To Find Out Whether The Spf Of 1 (53.85 KiB) Viewed 14 times

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Question 8 of 15 < > View Policies Current Attempt in Progress One of the authors wanted to find out whether the SPF of sunscreens used by students at her school (which is in a very sunny part of the United States) exceeds this value, on average? To collect data, the author surveyed students in her Introductory Statistics course and found that in a sample of 48 students the average SPF was 35.29 and the standard deviation of SPF was 17.19. -/1 = 1 (a) In the context of this study, is the theory-based approach (one-sample t-test) valid to find a p-value to investigate whether the data provide evidence that the average SPF of sunscreens used by students at this school exceeds 30? Explain. O Yes, since the sample size is larger than 20. O Yes, since we have more than 10 successes and 10 failures. O It is always valid to use the theory-based approach. eTextbook and Media
(b) Regardless of your answer in (a), use the Theory-Based Inference applet to conduct a one-sample t-test to find and report a standardized statistic (t-statistic) and a p-value. Report answers as provided in the applet (no rounding). t-statistici and p-value i eTextbook and Media (c) Interpret the p-value reported in (b). Choose the best among the following statements. O The p-value is the probability we would get a sample mean as large or larger than 35.29 from a sample of 48. The p-value is the probability we would get a sample mean as large or larger than 35.29 from a sample of 48, if the mean SPF for all students at the school is larger than 30. O The p-value is the probability we would get a sample mean as large or larger than 35.29 from a random sample of 48, if the mean SPF for all students at the school is 30. The p-value is the probability we would get a sample mean as large or larger than 35.29 from a random sample of 48, if the SPF for all students at the school is 30. eTextbook and Media
(d) State your conclusion from this study based on the p-value reported in (b). Since the p-value is the school is e Textbook and Media we strong evidence that the used by students at