The graph below shows the number of plates arranged on different numbers of tables in a room: A graph is shown. The values on th
e x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 6, 12, 18, 24, and 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x-axis is Number of Tables. The title on the y-axis is Number of Plates. What does the point (1, 6) on the graph represent? (1 point) The ratio of plates to tables in the room is 7:1. The ratio of tables to plates in the room is 7:1. There are 6 plates for every 1 table in the room. There are 6 tables for every 1 plate in the room.
2 answers:
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Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.