A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts the t value= (round to two decimal places as needed) the p value= (round three decimal places as needed) Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ___<μ1−μ2<____ (Round to three decimal places as needed.
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.
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A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from
0.10
significance level for both partsthe t value= (round to two decimal places as needed)
the p value= (round three decimal places as needed)
Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ___<μ1−μ2<____ (Round to three decimal places as needed.)
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