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 =0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data.

New York City

Phoenix

99

94.2

95.5

72

93.2

86.8

102

122.1

85.4

114.4

80

94.7

86.4

89.7

75.4

104.7

79.5

77.6

83.4

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

116.2

The Hypotheses for this problem are:

H₀: ₁= ₂

H₁: ₁₂

Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal.

p-value =