hich of the following is true of measurement error? af measurement enor in an independent variable is uncorrelated with other independent variables, all estimator are biased. b.if measurement error in a dependent variable is corelated with the independent variables, the ordinary least squares estimators are unbiased If measurement error in an independent variable is uncorrelated with the variable, the ordinary least squares estimators are unblased. d.f measurement error in a dependent varlable has zero mean, the ordinary least squares estimators for the intercept are biased and inconsistent.

Suppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below: Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements.  Estimate 95% confidence interval for true mean temperature. Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite dataset

A force measurement system (weight scale) has the following specifications as shown in Table 1: Estimate the overall instrument uncertainty for this system based on available information. FSO refers to full-scale operating range.

A 2 m tape length is measured as 2.05 m what is its percent uncertainty

7. Repeat the experiment using a second and third rod of different material. Data Table: T; °C Lo m Aluminum 0.30 Material AL m T; °C AT °C 5.44 x 10-4 24.6 100.2 0.29 4.21 x 10-4 23.5 99.9 Brass 0.30 3.83 х 104 25.0 100 Copper Data Analysis Table Experimental a Accepted a /°C 24 x 10-6 Material Error % Aluminum 19 х 106 Brass 17x 10-6 Сopper

2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value. (b) Test the hypothesis using critical region(s) approach. (c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this| two-sided test.