Question

n what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided T-test or two sided T-test. All the procedures should be done with 5% P-value or 95% confidence interval.Some answers are approximated, choose the most appropriate answer. Open Pollution data. SETUP: Is it reasonable to claim that cities with precipitation of less than 100 days have average temperature of less than 65 degrees F? Given the data your job is to confirm or disprove this claim.

I. What test/procedure did you perform? (6.66 points)

a. One sided T-test

b. Two sided T-test

c. Regression

d. Confidence interval

II. Statistical interpretation? (6.66 points)

a. Since P-value is small we are confident that the slope is not zero.

b. Since P-value is small we are confident that the averages are different.

c. Since P-value is too large the test is inconclusive.

d. None of these.

III. Conclusion? (6.66 points)

a. Yes, this is a reasonable claim.

b. No, we cannot confirm that this is a reasonable claim.

CITY	SO2	MANUF	POP	TEMP	WIND	PRECIP-INCHES	PRECIP-#DAYS
Phoenix	11	213	582	70.3	6	7.05	36
Little Rock	15	91	132	61	8.2	48.52	100
San Francisco	16	453	716	56.7	8.7	20.66	67
Denver	24	454	515	51.9	9	12.95	86
Hartford	82	412	158	49.1	9	43.37	127
Wilmington	43	80	80	54	9	40.25	114
Washington	30	434	757	57.3	9.3	38.89	111
Jacksonville	18	136	529	68.4	8.8	54.47	116
Miami	14	207	335	75.5	9	59.8	128
Atlanta	32	368	497	61.5	9.1	48.34	115
Chicago	131	3344	3369	50.6	10.4	34.44	122
Indianapolis	40	361	746	52.3	9.7	38.74	121
Des Moines	20	104	201	49	11.2	30.85	103
Wichita	10	125	277	56.6	12.7	30.58	82
Louisville	35	291	593	55.6	8.3	43.11	123
New Orleans	9	204	361	68.3	8.4	56.77	113
Baltimore	47	625	905	55	9.6	41.31	111
Detroit	46	1064	1513	49.9	10.1	30.96	129
Minneapolis-St. Paul	42	699	744	43.5	10.6	25.94	137
Kansas City	18	381	507	54.5	10	37	99
St. Louis	61	775	622	55.9	9.5	35.89	105
Omaha	17	181	347	51.5	10.9	30.18	98
Albuquerque	15	46	244	56.8	8.9	7.77	58
Albany	56	44	116	47.6	8.8	33.36	135
Buffalo	11	391	463	47.1	12.4	36.11	166
Cincinnati	27	462	453	54	7.1	39.04	132
Cleveland	80	1007	751	49.7	10.9	34.99	155
Columbus	27	266	540	51.5	8.6	37.01	134
Philadelphia	79	1692	1950	54.6	9.6	39.93	115
Pittsburgh	63	347	520	50.4	9.4	36.22	147
Providence	136	343	179	50	10.6	42.75	125
Memphis	10	337	624	61.6	9.2	49.1	105
Nashville	23	275	448	59.4	7.9	46	119
Dallas	11	641	844	66.2	10.9	35.94	78
Houston	10	721	1233	68.9	10.8	48.19	103
Salt Lake City	28	137	176	51	8.7	15.17	89
Norfolk	38	96	308	59.3	10.6	44.68	116
Richmond	38	197	299	57.8	7.6	42.59	115
Seattle	40	379	531	51.1	9.4	38.79	164
Charleston	40	35	71	55.2	6.5	40.75	148
Milwaukee	20	569	717	45.7	11.8	29.07	123

Answer 1

I. What test/procedure did you perform? (6.66 points)

a. One sided T-test

II. Statistical interpretation? (6.66 points)

b. Since P-value is small we are confident that the averages are different.

III. Conclusion? (6.66 points)

a. Yes, this is a reasonable claim.

65.00000	hypothesized value
36.76902	mean PRECIP-INCHES
11.77155	std. dev.
1.83841	std. error
41	n
40	df
-15.356	t
1.14E-18	p-value (one-tailed, lower)