The mean exam score for 49 male high school students is 20.3 and the standard deviation is 4.8. The mean exam score for 58 female high school students is 19.3 and the standard deviation is 4.3. At a = 0.01, can you reject the claim that male and female high school students have equal exam scores? (a) Identify the claim and state Ho and Ha. What is the claim? O A. Male and female high school students have different exam scores. O B. Male and female high school students have equal exam scores. OC. Male high school students have greater exam scores than female students. D. Male high school students have lower exam scores than female students. What are Ho and H,? O A. Họ: H1 H2 O B. Họ: H1 2 H2 OC. Hg: H1 = 42 O D. Ho: H > H2 Ha: H SH2 O E. Hg: H * H2 OF. Hg: H1 SH2 Ha: H1 > H2 Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject Ho- The standardized test statistic is not in the rejection ragion. O B. Reject Ho. The standardized test statistic is in the rejection region. OC. Reject Ho. The standardized test statistic is not in the rejection region. O D. Fail to reject H- The standardized test statistic is in the rojection region. Interpret the decision in the context of the original claim. At the % significance level, there is evidence to the claim that male high school students have exam scores female high school students' exam scores.
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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