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# (b) and (c) are what i need help with Problem(7) Let z Student's t-distribution. The density...

## Question

###### (b) and (c) are what i need help with Problem(7) Let z Student's t-distribution. The density... (b) and (c) are what i need help with
Problem(7) Let z Student's t-distribution. The density function of T is Normal(0, 1) and Y ~ xã, then the new r.v. T = Jun has the r[(y + 1)/2) -(4+1)/2 fr(t) = + (7/2) (a) (3 points) Describe the similarity/difference between T and Z. (b) (6 points) Let to be a particular value of t. Use t-distribution table to find to values such that the following statements are true. (Given that df=10.) (i) P(-to <t<to) = 0.90. (ii) Pt S-to or t > to) = 0.05. (iii) P(t <to) = 0.025. (c) (4 points) The following random sample was selected from a normal distribution: 11 11 4,6,3,5,9, 3, 4, 4,7,8,5. Hint: &: = 58; x = 346 (i) Construct a 90% confidence interval for the population H. (ii) Construct a 95% confidence interval for the population p.

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