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# Question # 3 Perform the following hypothesis test on the paired data below: d = 0 ( Please recall that d is read ~ and also known as ~ Mu-sub-d) HA:...

After

53

68

98

62

67

71

68

96

98

a) Is this an **upper tail**, **lower tail**, or **two-tail **test? (5 points)

b) Are we testing **means **or **proportions? (5 points)**

c) State the rule of rejection (in terms of p-value and level of significance) (5 points)

d) Find the p-value (5 points)

e) Should you **reject **or **not reject HO**? (5 points)

f) Do the data provide sufficient evidence to suggest the After scores are indeed higher? Why or why not? (5 points)

**Note: Because the above is a two-tail test, rejection of Ho alone is not a sufficient reason. Hint: What else did you observe among the sample results?**