Billy is playing a game using a bag with 11 marbles inside. The bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2
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Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M± where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12± =12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
Answer:
And we can use the normal table and the complement rule we got:
Step-by-step explanation:
For this case we have the following parameters given:
We select a ample size of n=49. And we want to find this probability:
And for this case is a right tail probability and we can use the z score formula given by:
And replacing we got:
And we can use the normal table and the complement rule we got: