Question

In a laboratory setting, one way to ensure accuracy is to use repeated measurements when conducting an experiment. Suppose that a lab assistant was given 10 experiments to conduct. After each experiment, she had to measure the weight of the result on two different scales, scale A and scale B. The mean difference of the weights of the 10 experimental results was 1.87 grams with a standard deviation of 1.33 grams (scale A – scale B). It is suspected that scale A is overstating the weights. Assume that the distribution of differences in the weights is approximately normal and the results of the experiments conducted are a random, representative sample of all such experiments. (a) State the null and alternative hypotheses. O Hoi Hd = 0 Họ: A > 0 O Ho: Mo = 0 H:H70 O Ho: Hg = 0 H:Hg < 0 O Ho: = 1.87 Họ: A-> 1.87 (b) The population parameter is Mg, the ---Select-- in weights (A - B) for all measuremer (c) Calculate the test statistic. (Round your answer to two decimal places.)

Answer 1

a)

H0: mud = 0
Ha: mud > 0

b)

The population paameter is the paired difference in weights (A - B) for all measurements

c)

t = (mud -0)/(sd/sqrt(n))
= 1.87/(1.33/sqrt(10))
= 4.45

#### if is there any changes in part(b) answer plz send me the dropdown option it would be helpful