A randomised controlled experiment investigated this by injecting pregnant guinea pigs with 0.5 mg/kg nicotine hydrogen tartrate in saline solution. The control group was injected with a saline solution without nicotine. The learning capabilities of the offspring of these guinea pigs were then measured using the number of errors that were made trying to find food in a maze. The data are summarized below: Group Sample size Sample mean Sample standard deviation Control 10 23.4 12.3 Treatment 10 44.3 21.5 Carry out a hypothesis test if there is a detrimental effect of nicotine on the development of the guinea pig offspring. In your answer: a) State clearly the hypotheses H0 and Ha: b) the observed value of the test statistic:
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.
A randomised controlled experiment investigated this by injecting pregnant guinea pigs with 0.5 mg/kg nicotine hydrogen tartrate in saline solution. The control group was injected with a saline solution without nicotine.
The learning capabilities of the offspring of these guinea pigs were then measured using the number of errors that were made trying to find food in a maze. The data are summarized below:
|
Group |
|
Sample mean |
Sample standard deviation |
|
Control |
10 |
23.4 |
12.3 |
|
Treatment |
10 |
44.3 |
21.5 |
Carry out a hypothesis test if there is a detrimental effect of nicotine on the development of the guinea pig offspring.
In your answer:
a) State clearly the hypotheses H0 and Ha:
b) the observed value of the test statistic:
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