d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should Select an answer | the null hypothesis.

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Do shoppers at the mall spend less money on average the day after Thanksgiving
compared to the day after Christmas? The 58 randomly surveyed shoppers on the day
after Thanksgiving spent an average of $126. Their standard deviation was $35. The
58 randomly surveyed shoppers on the day after Christmas spent an average of $111.
Their standard deviation was $32. What can be concluded at the a = 0.01 level of
significance? Assuming Equal Variances
Tor this study, we shoutd use
Select an answer
a The null and alternative hypotheses-would be
HgSelect an-anower Select an answer v Select an answer v (please enter a
decimal)
H:Setect an answer v Select an answer V
Select an answer v (Please enter a
decimal
b. The test stattstT is a
. The test statistic vatue -
(please show your answer to 3 decimal
ptaces.
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the conclusion is that ...
Select an answer
Transcribed Image Text:Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 58 randomly surveyed shoppers on the day after Thanksgiving spent an average of $126. Their standard deviation was $35. The 58 randomly surveyed shoppers on the day after Christmas spent an average of $111. Their standard deviation was $32. What can be concluded at the a = 0.01 level of significance? Assuming Equal Variances Tor this study, we shoutd use Select an answer a The null and alternative hypotheses-would be HgSelect an-anower Select an answer v Select an answer v (please enter a decimal) H:Setect an answer v Select an answer V Select an answer v (Please enter a decimal b. The test stattstT is a . The test statistic vatue - (please show your answer to 3 decimal ptaces. d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the conclusion is that ... Select an answer
Expert Solution
Step 1

Given : n1=58 , n2=58 , X1-bar=126 , X2-bar=111 , s1=35 , s2=32 ,α=0.01

Since , the population standard deviations are unknown and equal.

Here , we use the two sample mean t-test.

Therefore , the degrees of freedom is given by,

df=n1+n2-2=58+58-2=114

The pooled estimate of the standard deviation is ,

Sp=(n1-1)s12+(n2-1)s22n1+n2-2=(58-1)352+(58-1)32258+58-2=33.5336

The null and alternative hypothesis is,

Ho : μ1=μ2

H1 : μ1 ˂ μ2

The test left-tailed test.

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