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In: Statistics and Probability

Consider the following hypothesis test. H0: u 1 -u  2= 0 Ha: u1 -u  2≠ 0 The following...

Consider the following hypothesis test.

H0: u 1 -u  2= 0
Ha: u1 -u  2≠ 0

The following results are from independent samples taken from two populations.

Sample 1 Sample 2
n 1 = 35 n 2 = 40
x 1 = 13.6 x 2 = 10.1
s 1 = 5.8 s 2 = 8.1

a. What is the value of the test statistic (to 2 decimals)?

b. What is the degrees of freedom for the t distribution? (Round down your answer to the whole number)

c. What is the p-value? Use z-table.

The area in the upper tail is: (less than .005, between .005 and .01, between .01 and .025, between .025 and .05, between .05 and .10, between .10 and .20, greater than .20) ------ two-tailed p-value is between (less than .01, between .01 and .02, between .02 and .05, between .05 and .1, between .1 and .20, between .20 and 40, greater than .40Item 4 ).

d. At  = .05, what is your conclusion?

p-value is : (greater than or equal to 0.05, reject, greater than 0.05, do not reject, less than or equal to 0.05, reject, less than 0.05, do not reject, equal to 0.05, reject, not equal to 0.05, reject) H0

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