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Q14 (0/4) > Q15(0/6) Q16[4/4] Grade: 22/38 Print Version 4.12 Mental health: The 2010 General Social Survey asked the question: "For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?" Based on responses from 1,151 US residents, the survey reported a 95% condence interval of 3.40 to 4.24 days in 2010. (a) Interpret this interval in context of the data. 695% of surveys will report a mean number of "not good" days in the past 30 is between 3.40 and 4.24 o'l'he researchers can be 95% condent that the sample mean number of "not good" days in the past 30 is between 3.40 and 4.24 (\\The researchers can be 95% condent that the true population mean number of "not good" days in the past 30 is between 3.40 and 4.24 (b) Suppose the researchers think a 99% condence level would be more appropriate for this interval. Using the same data, will this new interval be smaller or larger than the 95% condence interval? ,larger since the standard error would be larger Osmaller since we have less room for error (\"smaller since we will be more sure of our results ("larger since the margin for error must be larger (c) If a new survey were to be done with 500 Americans, would the standard error of the estimate be larger, smaller, or about the same. Assume the standard deviation has remained constant since 2010. (\"larger since we can be less sure of our estimate with a smaller sample size Gabout the same since the standard deviation has remained constant, so we shouldn't expect different results Osmaller since we can collect more accurate results from fewer individuals