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balandron
21 day ago
7

A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a signifi

cant impact on the average number of strokes for the 13th hole on a given golf course. Historically, the pin has been placed in the front right corner of the green, and the historical mean number of strokes for the hole has been 4.25, with a standard deviation of 1.6 strokes. On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. 64 golfers played the hole with the new placement on that day. Determine the probability of the sample average number of strokes exceeding 4.75
Mathematics
1 answer:
Leona [9.2K]21 day ago
8 0
Utilizing the complement rule alongside the standard normal table or Excel, we arrive at the results. To summarize previous concepts, the normal distribution represents a symmetrical probability distribution centered around the mean, highlighting that values near the mean occur more frequently than those further away. The Z-score acts as a statistical measure that indicates a value's relation to the average of a dataset, expressed in standard deviations from the mean. In addressing the problem: Let X denote the random variable representing population heights, and we regard the distribution for X as stipulated. For a sample size of n = 64, since the distribution of X holds normality, so does the distribution of the sample mean. We aim to determine the following probability, utilizing the Z-score derived via the specified formula.
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Answer:

CrO₃.

Step-by-step explanation:

First, we will find the chromium percentage in the oxide by using the following process:

Oxygen (O) = 48%

Chromium (Cr) =?

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Cr = 100 – 48

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