Please answer the 4 questions. Refer to the attached photo below.

QUESTION 5 - 2 pts A study wanted to compare the LDL of male and female patients. Results from 100 patients are shown in the table below: Gender n Mean + SD Male 28 2.5454 + 0.86556 Female 72 2.7133 + 0.91576 At 5% level of significance, do the data provide sufficient evidence that the mean LDL of male and female patients differ? What is the correct conclusion? There is no sufficient evidence that the mean LDL of male and female patients differ. There is sufficient evidence that the mean LDL of male patients is less than the females. There is no sufficient evidence that the mean LDL of male patients is less than the females. QUESTION 6 - 2 pts A study wanted to compare the LDL of male and female patients. Results from 100 patients are shown in the table below: Gender n Mean + SD Male 28 2.5454 + 0.86556 Female 72 2.7133 + 0.91576 At 5% level of significance, do the data provide sufficient evidence that the mean LDL of male and female patients differ? What is the appropriate statistical test to be used to test the hypothesis? Welch's t-test Student's t-test z-test for two means QUESTION 7 - 2 pts A group of researchers wanted to determine if the mean HDL of male patients is less than female patients. HDL from one hundred patients were collected and results are as follows: Gender n Mean + SD Male 28 1.1318 0.16191 Female 72 1.2828 + 0.11039 Do these results show sufficient evidence that the mean HDL of male patients is less than female patients? Test at 5% level of significance. What is the correct statistical test to test the hypothesis? Let F = 1.643 be the critical value of F for the F test of two variances, using RStudio's pf(0.95,27,71) Welch's t-test Z-test for two means Student's t-test. QUESTION 8 - 2 pts A group of researchers wanted to determine if the mean HDL of male patients is less than female patients. HDL from one hundred patients were collected and results are as follows: Gender n Mean + SD Male 28 1.1318 + 0.16191 Female 72 1.2828 + 0.11039 Do these results show sufficient evidence that the mean HDL of male patients is less than female patients? Test at 5% level of significance. Let the critical value be t = 2.02. Which of the following is the correct conclusion? There is sufficient evidence that the mean HDL of male patients is not equal to the female patients. There is no sufficient evidence that the mean HDL of female patients is less than male patients. There is sufficient evidence that the mean HDL of male patients is less than female patients