210 Statistics Ch 9 Review Assignment: Choosing the Correct Two Sample Test For

Question

210 Statistics Ch 9 Review Assignment: Choosing the Correct Two Sample Test For each situation described below, write the hypotheses. Then indicate which test you would choose on the graphing calculator : 2-T-Propz-test, T-test (on the paired differences), 2-Sample T-test (You don't need to carry out the test) 1. Is it true that the length of a person's forearm is the same as the length of his/her foot? To test this, 10 randomly selected college students measured their forearms (wrist to elbow) and then measured the length of their right foot. The measurements in centimeters) are given in the table below Forearm, 23.75 23.5 28.5 26 26 25 25.5 26.5 26 25.5 Foot, Y 23.5 23 29 22 26 24.5 26 25 25 24 Ho: Hypotheses: H Calculator Test: 2. Two different processes (Type 1 and Type 2) are used to produce metal plates. The table below shows the weights (in grams) of randomly selected samples produced by each process. Is there evidence that the average weight of plates produced by process Type 2 is less than that of process Type 1? 1106 1108 186 1103 1102 1107 120 Type 1 105 Type 2 90 94 106 84 98 106 110 Ho: H1: Calculator Test: Hypotheses:0 3. A clerk in a certain county wanted to find out whether mailing registration reminders to residents eligible to vote would improve voter registration rates. In that county, there were 1224 residents eligible to vote. These residents were randomly divided into two groups of 612. Group 1 residents received no reminders to register. Out if this group, 280 registered to vote. Residents in Group 2 received voting registration reminders in the mail. Out of this group, 336 registered to vote. Is there evidence that the proportion of residents who registered to vote was higher in Group 2? Ho: Calculator Test: Hypotheses: H

Explanation / Answer

1.

2-Sample t-test(non pooled)

2. 2-Sample t-test(non pooled)

For example, suppose you want to compare two different materials for making backpacks –Cloth A and Cloth B –to determine which would make a more durable product. You sample materials from both suppliers and measure the mean amount of force needed to tear them.

3. PAIRED T-TEST

Select a paired or repeated-measures test when values represent repeated measurements on one subject (before and after an intervention) or measurements on matched subjects. The paired or repeated-measures tests are also appropriate for repeated laboratory experiments run at different times, each with its own control.

The null hypothesis ( ) assumes that the true mean difference ( ) is equal to zero(m1=m2)

The two-tailed alternative hypothesis ( ) assumes that is not equal to zero or it is higher in group 2 (m2>m1)

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