A quality control manager at a factory wants to estimate the…
A quality control manager at a factory wants to estimate the average length of bolts produced by a new machine. The standard deviation (\( \sigma \)) of the bolt lengths is known to be 0.1 mm. She takes a random sample of 50 bolts (\( n = 50 \)) and finds the sample mean (\( \overline{x} \)) is 50.5 mm. Using the formula below, where \( z = 1.96 \) is the z-score corresponding to the 95% confidence level, compute the 95% confidence interval for the true mean bolt length. Formula: \(\text{Confidence Interval} = \bar{x} \pm z \left(\frac{\sigma}{\sqrt{n}}\right)\)
Read DetailsAntonio is a basketball player on his college team. Over the…
Antonio is a basketball player on his college team. Over the past 10 games, Antonio has scored the following number of points: 22, 18, 25, 17, 20, 25, 18, 25, 19, and 20. The coach wants to analyze Antonio’s performance to understand his scoring consistency. He decided to calculate the mean, median, and mode of Antonio’s points per game and interpret the results to inform future strategies. The data can be represented in a table as follows: 1. Based on the data provided, what is the mean number of points Antonio scored per game over the 10 games? {#1} 2. What is the median number of points Antonio scored in these games? When arranged in ascending order, the points are: 17, 18, 18, 19, 20, 20, 22, 25, 25, 25 {#2} 3. Which point total is the mode of Antonio’s points scored over the 10 games? Points Scored Frequency 17 1 18 2 19 1 20 2 22 1 25 3 {#3}
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