Bob has a bulb factory that produces two types of bulbs: white light (x) and color light (y). It is known that the standard deviation of service life for the population of white light bulbs is o, = 14 hours and o, = 13 hours for color bulbs, both are normally distributed. He tested the mean service life of those two types of bulbs by randomly drawing a sample of 20 bulbs from each type. The estimated mean service life are = 960 hours and y = 945 hours. Assume that cov(a, j) = 0 What is the absolute value of the t- statistic if the null hypothesis is that both types of bulbs have the same service life? Select one: O a. 0.76 b. 0.77 с. 3.51 d. 3.28 Oe. 12.9
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.
![Bob has a bulb factory that produces two types of bulbs: white light (x) and color light (y). It is known that the standard deviation of service
life for the population of white light bulbs is o
tested the mean service life of those two types of bulbs by randomly drawing a sample of 20 bulbs from each type. The estimated mean
service life are a
14 hours and oy
= 13
hours for color bulbs, both are normally distributed. He
960
hours and y = 945
hours. Assume that cov(, j) = 0
What is the absolute value of the t-
statistic if the null hypothesis is that both types of bulbs have the same service life?
Select one:
а.
0.76
b. 0.77
С.
3.51
d. 3.28
е.
12.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbc70fad-ff6d-47a3-9572-b6682e6e8793%2F61815a8d-45dd-4062-aa08-01f6683205d2%2Foun8yv_processed.jpeg&w=3840&q=75)
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