Please complete the following statistical analyses for the sample data given below and show work. Show all work for this question

Here is the sample data set you will be used for all parts of this question:

Cholesterol levels for 30 random people

193

208

240

215

242

253

214

205

206

203

210

188

215

199

193

288

220

223

200

240

196

206

201

210

208

164

194

199

204

199

a)Construct a 95% confidence interval for the population's mean.

____________ < < ____________

b.) If someone were to ask you what this particular confidence interval means, what would you say? (3 points)

c)Test the hypothesis that the population's mean is different from the sample's median value.

Use = 0.05. (20 points)

Null hypothesis (H₀): _____________________

Alternative hypothesis (H₁): ________________

Type of Test: ____________________________

Critical value: ____________orP-value: ____________

Test statistic: ____________

Conclusion:

Do you reject the null hypothesis (yes or no)? _________

d)If someone were to ask what the conclusion means in this particular study, what would you say?