X is a normally distributed variable with mean μ = 30 and standard deviation
σ = 4. Find: i) P (x < 40), ii) P (30 < x < 35)?
The school principal wants to test if it is true what teachers say – that high school juniors use the computer an average 3.2 hours a day. What are our null and alternative hypotheses?
Find the value of the correlation coefficient from the data given in the following table
Solve using One-way ANOVA
In a manufacturing unit, four teams of operators were randomly selected and sent to four different facilities for machining techniques training. After the training, the supervisor conducted the exam and recorded the test scores. At 95% confidence level does the scores are same in all four facilities?
(Hint: Use Kruskal–Wallis test)
If the sample mean and expected mean value of the marks obtained by 15 10 students in a class test is 290 and 300 respectively. What is the t-score if the standard deviation of the marks is 50?
Find out what is the relation between the GPA of a class of students and the 10 number of hours of study and the height of the student
A farmer is trying out a planting technique that he hopes will increase the yield on his pea plants. The average number of pods on one of his pea plants is 145 pods with a standard deviation of 100 pods. This year, after trying his new planting technique, he takes a random sample of his plants and finds the average number of pods to be 147. He wonders whether this is a statistically significant increase. What are his hypotheses and the test statistic? Use a 0.05 significance level.
An agent sells life insurance policies to five equally aged, healthy people.
According to recent data, the probability of a person living in these
conditions for 30 years or more is 2/3. Calculate the probability that after 30
years if i. All five people are still living.
ii. At least three people are still living.
iii. Exactly two people are still living. (Hint: Binomial Distribution)
Find the simple linear regression equation that fits the given data and 10 coefficient of determination:
