The following 10 measurements were made of output voltage from a high-gain amplifier contaminated due to noise fluctuations: 1.53, 1.57, 1.54, 1.54, 1.50, 1.51, 1.55, 1.54, 1.56, 1.53 Determine the mean value and standard deviation. Hence, estimate the standard error of the mean is determined from these 10 measurements. If 1000 measurements were taken, instead of 10, but sigma remained the same, by how much would the standard error of the mean be improved?