you sample 100 women and the average mean is 16, Calculate 95% Confidence interval for the sample. Do you have evidence the true mean is not 14? i need help please

you sample 100 women and the average mean is 16, Calculate 95% Confidence interval for the sample. Do you have evidence the true mean is not 14? i need help please, Standard D is 1

Z = (mean1 - mean2)/standard error (SE) of difference between mean

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score. Is it less than you alpha error (P ≤ .05)?

To calculate the 95% confidence interval for the sample mean, you will need the standard deviation of the sample and the sample size. Unfortunately, you have not provided the standard deviation in your question. As a result, we cannot proceed with calculating the confidence interval without this information.

However, I can provide you with some general steps to calculate the confidence interval once you have the necessary information:

1. Calculate the standard deviation of the sample (denoted as "s").
2. Determine the sample size (denoted as "n").
3. Look up the critical value for a 95% confidence interval in the standard normal distribution table. This critical value is typically denoted as "Z".
4. Calculate the standard error of the mean (SEM) using the formula: SEM = s / √n, where s is the standard deviation and n is the sample size.
5. Determine the margin of error (MOE) using the formula: MOE = Z * SEM, where Z is the critical value obtained from the standard normal distribution table.
6. Calculate the lower and upper bounds of the confidence interval by subtracting and adding the MOE from the sample mean (16 in this case). The lower bound would be the sample mean minus the MOE, while the upper bound would be the sample mean plus the MOE.

Regarding your question about whether there is evidence that the true mean is not 14, we can use the confidence interval to examine that. If the confidence interval includes the value of 14, then we cannot conclude with 95% confidence that the true mean is not 14. However, if the confidence interval does not include 14, then we can say that there is evidence that the true mean is not 14 at a 95% confidence level.