A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix
98 94.2
95.5 72
92.2 86.8
102 120.1
85.4 114.4
80 93.7
85.4 89.7
75.4 104.7
79.5 76.6
82.4 106.8
64.3 98.6
65.5 91.5
87.7 82
104 97.7
74.3 64.9
59.5 82
82.8 72
115.2
The Hypotheses for this problem are:
H0: μ1 = μ2
H1: μ1 ≠ μ2
a) Find the p-value. Round answer to 4 decimal places.
b) Choose the correct decision and summary based on the above p-value.
Reject H0. There is no evidence that the mean temperature in New York City is different from the mean temperature in Phoenix.
Do not reject H0. There is evidence that the mean temperature in New York City is different from the mean temperature in Phoenix.
Do not reject H0. There is no evidence that the mean temperature in New York City is different from the mean temperature in Phoenix.
Reject H0. There is evidence that the mean temperature in New York City is different from the mean temperature in Phoenix.