Suppose that the operating time in hours from a fully charged iPhone 8 has a mean of 7 hours and standard deviation 0.8 hours. Note that the median talk time is 4.7 hours. If a random sample of 35 fully charged iPhones is taken, completely state the sampling distribution of x̄35. Use the formula sheet for a guide, do we need to use the CLT here? Hint: Compare the mean/med operating time to determine the shape of the data set, if skewed then we need the CLT…
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.
Suppose that the operating time in hours from a fully charged iPhone 8 has a
- If a random sample of 35 fully charged iPhones is taken, completely state the sampling distribution of x̄35. Use the formula sheet for a guide, do we need to use the CLT here? Hint: Compare the mean/med operating time to determine the shape of the data set, if skewed then we need the CLT…
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