(true or false questions) 1.A sample mean is always the same as the population mean 2. If the population standard deviation remains unchanged and the sample size is larger, the sampling distribution of the mean will be flat. 3. If the sample size is large, the standard error of the mean is also large. 4. A large standard error ofa statistic indicates that the estimates are very spread out 5. When the sample size is sufficiently large, the sampling distribution of any statistics can be approximated by a normal distribution. 6. The method of data collection may influence the sampling distribution of the mean. 7. A level of confidence represents the proportion of confidence intervals that contain the true value of the unknown population parameter. 8. The margin of error reflects the precision of the estimation 9. If a null hypothesis is rejected at the significance level of 0.01, the null hypothesis is rejected at the significance level of 0.05. 10. If a null hypothesis is not rejected, we have clear evidence that the null hypothesis is true. 11. Increasing the sample size decreases the probability of making a Type II error when the significance level is fixed

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