The Bradenton Post polled 1,356 adults in the city to determine whether they wet their toothbrush before they put toothpaste on
1 answer:
Answer:
The mean is 0.54 and the standard deviation is 0.0135.
Step-by-step explanation:
i) the mean of the sampling distribution is 0.54
ii) the mean for the sampling distribution, p = 0.54
iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46
iv) the sample size of the distribution, n = 1356
v)
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Answer:
The minimum score required for an A grade is 88.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
Rounding to the nearest whole number
The minimum score required for an A grade is 88.