Question

Question 7 of 10 (1 point) View problem in a pop-up The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes: 5 4 7 3 2 5 6 4 3 2 5 4 7 2 4 3 5 5 4 5 3 Download Data At a = 0.01, does the average family size differ from the national average? Assume the population is normally distributed. Source: New York Times Almanac. Part 1 out of 5 State the hypotheses and identify the claim with the correct hypothesis. Hou (select) (select)

1. state the hypothesis and identify the claim with the correct hypothesis. Also one or two tailed test?

2. Compute the test value

3. Find the P-value

4. Make the decision to reject or not reject the null hypothesis

5. Summarize the results

Answer 1

= 3.18 family size Let el be the average The problem is to test the claim that average family size differ from the national average .) Hypothesis He: el = 3.18 Hi el 3.18 This is two failed test f 2) Let o be the size of Sample = 21 X be the average of sample Xi : s 4 7 3 2 6 4 3 2 S 4 2 4 3 s 4 S EX; - 88 Ź x;? = 412 Х 4,19 LE Xi = iz 88 21 n be the standard deviation of sample IsX;2-12 S = 412 (4.19) 21 ! 2.06 1,43 Assume that population is normally distributed and sample size is less than 30 jie n < 30 se bere used t- test Test statistis t = xel S/AD 4.19 - 3,18 1,437124 = 3.23

= 21-1 3) df = n- 20 level of significance 0.50.01. : P-value = TDISTC+, df, tail) = TDIST(3,23,20, tail=2) 0,0041 We calculate p-value using excel 4 p-value <a Hence reject Ho s) Conclusion !. Reject Ho. There is enough evidence to support the claim that the average family size differ from the national are average 3,18

Answer 2

The average family size was reported as 3.18.A random sample of families in a particular school district resulted in the following family sizes: 5. 4. 5. 4. 4. 3. 6. 4. 3. 3. 5 6. 3. 3. 2. 7. 4. 5. 2. 2. 2. 3 5. 2 At alpha=0.05 does the average family size differ from the national average?