The following data represent the weights (in grams) of a random sample of 50 candies. 0.99 0.85 0.82 0.89 0.89 0.84 0.89 0.77 0.85 0.82 0.86 0.85 0.76 0.82 0.85 0.87 0.98 0.83 0.81 0.91 0.88 0.77 0.76 0.85 0.86 0.88 0 85 0.94 0.96 0.73 0.79 0.78 0.71 0.92 0.76 0.74 0.85 0.84 0.85 0.87 0.85 0.86 0.75 0.84 0 88 0.91 0.74 0.78 0.93 0.84 (a) Determine the sample standard deviation weight s= gram (Round to two decimal places as needed.) (b) On the basis of the histogram on the right, comment on the appropriateness of using the empirical rule to make any general statements about the weights of the candies O The histogram is bell-shaped so the empirical rule can be used. O The histogram is not bell-shaped so the empirical rule cannot be used. (c) Use the Empirical Rule to determine the percentage of candies with weights between 0.72 and 0.96 gram Hint x= 0.84 % Click to select your answer(s). S0S AM 2/26/2021
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="The following data represent the weights (in grams) of a
random sample of 50 candies.
Question Heip
0.99
0.86
0.85
0.76
0.87
0,7
0.79
0.78
0.71
0.83
0.81
0.82
0.89
0.98
0.76
0.89
0.84
0.89
0.77
0.85
0.82
0.85
0.86
0.91
0.85
0.94
0.96
0.88
0.75
0.92
0.76
0.74
0.85
0.74
0.78
0.84
0.85
0.84
0.87
0.85
0.86
0.84
0.82
0.85
0.88
0.88
0.93
0.73
0.85
0.91
(a) Determine the sample standard deviation weight
s= gram
(Round to two decimal places as needed.)
(b) On the basis of the histogram on the right, comment on the appropriateness of using the empirical rule to make any general statements about the weights of the candies
The histogram is bell-shaped so the empirical rule can be used.
The histogram is not bell-shaped so the empirical rule cannot be used.
(c) Use the Empirical Rule to determine the percentage of candies with weights between 0.72 and 0.96 gram
Hint x=0.84.
Click to select your answer(s).
505 AM
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2/26/2021
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 alt="The following data represent the weights (in grams) of a
random sample of 50 candies.
Question Help ▼
0.99
0.86
0.85
0.76
0.82
0.85
0.87
0.83
0.82
0.89
0.84
0.89
0.98
0.76
0.82
0.85
0.86
0.88
0.93
0.85
0.94
0.77
0.81
0.89
0.91
0.88
0.75
0.85
0.79
0.78
0.71
0.92
0.76
0.74
0,85
0.87
0.85
0.86
0.96
0.84
0.74
0.84
0.77
0.85
0.73
0.88
0.78
0.85
0.91
0.84
(c) Use the Empirical Rule to determine the percentage of candies with weights between 0.72 and 0.96 gram.
Hint: x=0.84
口%
(d) Determine the actual percentage of candies that weigh between 0.72 and 0.96 gram, inclusive.
%
(e) Use the Empirical Rule to determine the percentage of candies with weights more than 0.9 gram
%
(f) Determine the actual percentage of candies that weigh more than 0.9 gram.
Click to select your answer(s)
506 AM
A 0 A 2/26/2021
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