Question

While Florida obviously has the upper hand in terms of production, California claims that they have the upper hand in terms of productivity. test this hypothesis

Year	CALIFORNIA	FLORIDA
1978	226	290
1979	199	287
1980	320	358
1981	357	301
1982	233	225
1983	429	260
1984	274	246
1985	299	247
1986	309	324
1987	335	319
1988	342	363
1989	332	377
1990	408	276
1991	143	360
1992	371	315
1993	363	381
1994	344	341
1995	293	365
1996	296	342
1997	320	362
1998	341	401
1999	177	304
2000	322	387
2001	275	369
2002	264	392
2003	313	345
2004	262	428
2005	338	276
2006	321	301
2007	242	271
2008	330	367
2009	250	354
2010	314	296
2011	347	319
2012	328	338
2013	319	311
2014	298	250
2015	296	239
2016	345	211
Grand Total	12657	12498

Answer 1

Two-Sample T-Test and CI: CALIFORNIA, FLORIDA

Method

μ₁: mean of CALIFORNIA

µ₂: mean of FLORIDA

Difference: μ₁ - µ₂

Equal variances are assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
CALIFORNIA	39	304.5	57.9	9.3
FLORIDA	39	320.5	53.3	8.5

Estimation for Difference

Difference	Pooled StDev	95% Lower Bound for Difference
-16.0	55.6	-36.9

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ > 0

T-Value	DF	P-Value
-1.27	76	0.896

Since p-value is more than alpha (0.05) we fail to reject null hypothesis and conclude that there is no significant evidence for California's claim.