Weight Watchers Example: Person Person Before After 1 176 164 2 192 191 3 185 17

Question

Weight Watchers Example:

Person

Person

Before After 1 176 164 2 192 191 3 185 176 4 177 176 5 196 185 6 178 169 7 196 196 8 181 172 9 158 158 10 201 193 11 191 185 12 193 189 13 176 175 14 212 210 15 177 173 16 183 180 17 210 204 18 198 192 19 157 152 20 213 200 21 161 161 22 177 166 23 210 203 24 192 186 25 178 170 Refer to the Weight Watchers file here: Use Excel to test. For each paired difference, compute After - Before. In Data Analysis, t-Test: Paired Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative corresponding to a 1-tailed test with lower reject region and negative lower critical value. What is the critical t-value? Question 17 options: 3.645 or -3.645 1.711 or -1.711 5.614 or -5.614 7.861 or -7.861 Refer to the Weight Watchers file here: Use Excel to test. For each paired difference, compute After - Before. In Data Analysis, t-Test: Paired Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative corresponding to a 1-tailed test with lower reject region and negative lower critical value. What is your conclusion? Reject the NULL Hypothesis because the actual value is larger than the critical value Do not reject the NULL Hypothesis because the actual value is larger than the critical value Reject the NULL Hypothesis because the actual value is smaller than the critical value Do not reject the NULL Hypothesis because the actual value is larger than the critical value

Explanation / Answer

as level of significance not given we consider it as 0.05

17) critical value for 24 degree of freedom at one tailed t critcal for 0.05 level=-1.711 and 1.711

18)reject because actual value is smaller then critcal value

before after difference(d) 176 164 -12 192 191 -1 185 176 -9 177 176 -1 196 185 -11 178 169 -9 196 196 0 181 172 -9 158 158 0 201 193 -8 191 185 -6 193 189 -4 176 175 -1 212 210 -2 177 173 -4 183 180 -3 210 204 -6 198 192 -6 157 152 -5 213 200 -13 161 161 0 177 166 -11 210 203 -7 192 186 -6 178 170 -8 10.3 12.4 2.1 12.8 10 -2.8 7.3 9.6 2.3 mean -3.800 std deviaition 4.9572 std error= std dev/(n)^(1/2) 1.7527 t stat= (d-0)/std error -2.1681 p value = 0.0310

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