What is the confidence interval

Assignment Help Applied Statistics

Reference no: EM132278224

Assignment - Read all questions carefully and submit your solution in a word file (NO PDF) with R codes.

Q1. The length of life of certain type of electronic device is normally distributed with mean = 100 hrs and standard deviation = 5 hrs.

(a) What % of device will last more than 104 hrs?

(b) What % of device will last in between 97 to 107 hrs?

Q2. A recent survey of college campuses across GreatUniversity shows that students spend an average of 2.5 hours a day commute time with standard deviation of 1 hour. A random sample of 40 students from one of the campuses of GreatUniversity showed an average commute time of 2.8 hours a day. Do the students from this particular campus commute more than the typical GreatUniversity students? (Follow the steps below to reach the conclusion, Use R to calculate test statistic, p-value, and CI).

a. Define null and alternate hypothesis.

b. Identify the significance level, and check whether it is one sided or two sided test.

c. What is the test statistics?

d. What is p-value?

e. What is the confidence interval?

f. What is the meaning of this confidence interval?

g. Write down the conclusion.

Q3. Use diet.csv data and carry out the hypothesis testing to see whether there is significant difference in protein intakes between male and female. Follow all steps a-g of Q2. to perform this hypothesis testing.

Reference no: EM132278224

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