Math  /  Data & Statistics

Question\begin{table}[h] \centering \begin{tabular}{|r|r|} \hline Measured & Reported \\ \hline 203.5 & 203.5 \\ 300 & 300.3 \\ 172 & 173.3 \\ 233 & 241.4 \\ 172 & 171.1 \\ 220 & 242.1 \\ 202 & 193.3 \\ 172 & 171.5 \\ 135 & 132.5 \\ 150 & 149.3 \\ 148 & 148.2 \\ 200 & 205.3 \\ 180 & 182.5 \\ 130 & 130.7 \\ \hline \end{tabular} \end{table}
Listed in the accompanying table are 127 measured and reported weights (lb) of female subjects. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c).
a. Use a 0.05 significance level to test the claim that for females, the measured weights tend to be higher than the reported weights.
In this example, μd\mu_{d} is the mean value of the differences dd for the population of all pairs of data, where each individual difference dd is defined as the measured weight minus the reported weight. What are the null and alternative hypotheses for the hypothesis test? H0:μd=0lbH1:μd>0lb\begin{array}{l} H_{0}: \mu_{d}=0 \mathrm{lb} \\ H_{1}: \mu_{d}>0 \mathrm{lb} \end{array} (Type integers or decimals. Do not round.) Identify the test statistic. t=t= \square (Round to two decimal places as needed.)

Studdy Solution
Determine the critical value for a one-tailed test at α=0.05 \alpha = 0.05 and compare the test statistic to this critical value to make a decision.
The test statistic t t is calculated as follows (assuming the calculations for mean and standard deviation are completed):
t=calculated value t = \text{calculated value}

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