A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01 Assume the populations are approximately normally distributed with unequal variances. Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7 64.6 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.) HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value = The p-value is____________ The correct decision is to_________________ . The correct summary would be: ______________ the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland.

Assume the populations are approximately normally distributed with unequal variances.
Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.

Minneapolis	Cleveland
70.1	66.1
69.5	65.9
65.7	61
71.7	62.8
62	67.9
75.3	74.5
63.2	69.1
62	72.5
76.9	80.4
71.3	72.7
70.9	70.4
70.5	76.6
65.1	62.2
76.2	66.1
70.3	86
69.5	81
80.2	68.3
74.3	63.3
70.7
64.6

The Null Hypotheses is: H₀: μ1 - μ2 = 0

What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)

H_A: μ1 - μ2

Based on these hypotheses, find the following. Round answers to 4 decimal places.

Test Statistic =

p-value =

The p-value is____________

The correct decision is to_________________ .

The correct summary would be: ______________ the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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