a researcher is 95% confident that the interval from 5.09 to 10.13 captures μ = the true mean amount of…

a researcher is 95% confident that the interval from 5.09 to 10.13 captures μ = the true mean amount of times models change clothes during a fashion shoot. is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may be 10? no, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval. no, this is not a plausible value for the population mean, because 10 is not within the 95% confidence interval. yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval. yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper boundary of the 95% confidence interval.

a researcher is 95% confident that the interval from 5.09 to 10.13 captures μ = the true mean amount of times models change clothes during a fashion shoot. is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may be 10? no, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval. no, this is not a plausible value for the population mean, because 10 is not within the 95% confidence interval. yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval. yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper boundary of the 95% confidence interval.

Answer

Brief Explanations:

A confidence interval gives a range of values within which the true population mean is likely to lie. If a value is within the confidence interval, it is a plausible value for the population mean. Here, the 95% confidence interval is from 5.09 to 10.13. Since 10 is within this interval (5.09 < 10 < 10.13), it is a plausible value for the population mean.

Answer:

Yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval.