Preparatory Exercise

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    David Rangel: Preparatory Exercise 1

    BELLINGHAM TECHNICALCOLLEGE

    Instructor:David Rangel

    Course:Math 146, Introduction to Statistics

    Document:Hypothesis Testing Preparatory Self-Study Assignment

    Introduction To Hypothesis Testing:Preparatory Self-Study Assignment

    Reading Assignment: Textbook pages 358364, 372378. Be prepared to discuss your basic understanding of the

    terminology used in these readings. You do not need to know how to perform the calculations yet. You are responsible only for

    recognizing terms and a basic understanding of the vocabulary. This will greatly facilitate your understanding of the lecture

    and in-class exercises, and improve the effectiveness of time spent in class and at home on assignments following the

    presentation. As an example of a typical question on the quiz, you will be asked to select the correct response to questionssimilar to the following:

    Sample Reading Questions for class discussion:o A hypothesis test for a population mean is to be performed. True or false: The probability of a Type I error is

    equal to the significance level.

    o You wish to test the following hypotheses: H0: = 40 and Ha: > 40. Would you be inclined to reject thenull hypothesis if the sample mean turned out to be much smaller than 40? (Yes/No)

    Technology Preparatory Assignment: In preparation for the lesson on hypothesis tests and in-class practice and activities,

    you are asked to acquaint yourself with the inferential statistics capabilities of StatCrunch in advance of lecture. The exercises

    are intended to familiarize you with the menus and operations; do not feel that you need to understand the meaning of all the

    calculations until we use them in class. Bring a copy (electronic or print out), or notes you take from this assignment to classfor reference. You will be asked to turn in answers to a few questions based on this exercise for credit at the beginning of class

    (See below).

    HYPOTHESIS TESTING on StatCrunch:o Watch the video found at http://www.youtube.com/watch?v=QaNMv5fFDFgo Following the instructions provided in the video, perform the same operations for the following example:o A commonly held belief is that the average body temperature is 98.6 F. You conduct a simple random

    sample of 148 healthy adults aged 1840. You find the mean temperature is 98.2 F. The standard deviation

    of the sample is 0.7 F. You will learn how to set up the null and alternate hypotheses and how to understand

    the calculations performed by the calculator by the end of the less. For now, use = 98.6, x = 98.2, s = 0.7,

    n=148. Following the instructions in the video, perform the z-test and record the P-value you obtain and

    bring this to class (you will compare your answers to those obtained by other students). Now, instead of

    selecting a z-test, select the t-test and recalculate the P-value. Record this value to report on the quiz.