True or False 1The mean is less likely to be affected by an

True or False
1.The mean is less likely to be affected by an extreme observation (an outlier) than the median

2. For left skewed distribution, the mean is greater than the median

3. with a larger sample size such as n=500, we must make sure the distribution is approximately normal in order to compute a 95% confidence inter val for the mean

4. For two independent samples with smaller sample sizes an highly skewed distributions, Wilcoxon Signed Rank test can be used to compare the two populations

5. Standard Error is a measure of the accuracy of the sample mean as an estimate of the population mean, does not describe the variability in the data

6. if an additional data value that is far above the rest of the data is added to a data set, then the standard deviation will decrease

7. Let p1= probability of cure in the treatment group and p2= probability of cure in the control group. suppose the 95% CI for (p1-p2)=(-0.05, 0.25). If we tested the hypothesis H0 : p1(not equal sign) p2 at an alpha=0.05, then we fail to reject H0

Solution

1)The mean is less likely to be affected by an extreme observation (an outlier) than the median

this statement is False beacuse median is the mid term in the total number of terms which will not be affected much but mean is the sum of all and if there is a outlier thwn the sum for the mean can became too large or too small due to which we will get the wrong mean. henve mean is affected more by the outliers. and the answer will be false.