Time series Analysis
Time series analysis is a statistical technique that deals with time series data, or trend analysis. Time series data means ______ _______ _______ _____ _____ _____ _________ ______.
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A cricket ball manufacturing company wants to check the variation in the weight of the balls. For this, 25 samples each of size 4, are selected and the weight of each ball is measured (in grams). The sum of the sample average and the sum of Sample ranges were found to be ∑ i 25 R
A washing machine company chooses a random sample of 10 motors received from one of the suppliers. It determines the length of life of each of the motors. The results (in thousands of hours) are as follows: 4.5, 5.0, 4.2, 4.8, 4.2, 5.1, 4.0, 4.2, 4.2, 4.5 Computer a point estimate of the mean length of life of the motors received from the supplier.
Forecasting
A steel rod is subjected to stress. The tensile strength of the rod at different values of the stress are recorded. Find a relation between the tensile strength and the stress. The data is given below: Stress (kg):
Time series Analysis
A researcher would like to test whether there is any significant difference between the proportion of safety consciousness of men and women while driving a car. In a sample of 300 men, 130 said that they used seat belts. In a sample of 300 women, 90 said that they used seat belts. Test the claim that there is no significant difference between the proportion of safety consciousness of men and women while driving a car at 5% level of significance. (Given that Z0.025 = 1.96)
Suppose an analyst studies three villages having population N1 = 50000, N2 =30000 and N3 = 40000, respectively. A stratified random sample is to be taken with a total sample size of n = 500. Determine the sample size to be selected from each village individually using the method of (i) proportional, and (ii) optimal allocation. From the previous survey, it is known that the standard deviations are S1=30, S2 =15& S3=20.