Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds parts (a) through (d) below. emean IQ is 104.5 with a standard deviation of 13.6. Complete 2.07 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.023 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance. O B. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance. c. Reject Ho. There is sufficient evidence t conclude that the mean IQ score of people in the country is greater than 100 at the a =0.10 level of significance. O D. Reject Ho- There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a =0.10 level of significance. (b) Consider the hypotheses Ho: = 101 versus H,: u> 101. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 101. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 101. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 101. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101. Find the test statistic for this hypothesis test. O(Round to two 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.
the test statistic but the answer is not 2.07
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