Statistics tasks
An analytician is studying the profits of a company over the course of ten years. Let X be the number of years after the inital year the analytician is studying. Y is the profits in year X and the analytician believes the profits are a normal distribution stochastic(random) variable with expectation ?(?)=?0+?1? and standard deviation ?=0.08. Based on these observations the analytician finds that:
?¯=3.6 and ?¯=4.26
?=?^9_?=0 (????¯)^2=7.44,
?^9_?=0 (????¯)??=4.96
(I added this as a picture too as I have a hard time writing formulas on here)
Questions:
1. Estimate ?0 og ?1.
2. Can it be proven that the yearly increase in profits, ?1, is bigger than 0.5? Formulate fitting hypothesis and do a hypothesis test at 0,5% significance level.
Critical value=
H1 or not H1?
3.Find a 99% confidence interval for expected profits for x=5
Upper confidence limit:
Lower confidence limit:
4. Find a 95% prediction interval for expected profits for x=1
Upper prediction limit:
Lower prediction limit:
Answer
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
- answered
- 132 views
- $5.41
Related Questions
- Statistics- Probability, Hypotheses , Standard Error
- Please check if my answers are correct - statistic, probability
- What is the normal probability distribution function?
- Statistical significance
- Probabilities
- Markov Chain
- Density plot
- Probability maximum value of samples from different distributions