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Q1) At certain manufacturing plant, machine creates ball bearings which must have a diameter of 0.50 mm. If machine makes ball bearings which are either too small or too large, ball bearings must be scrapped. Every hour, a quality control manager takes random sample of 30 ball bearings to test to see if process is "out of control" (i.e. to test to see if the average diameter differs from 0.50 mm.)
a) Mention the null and alternate hypothesis.
b) Explain a Type I error for this situation.
c) Explain a Type II error for this situation.
Q2) National poll reported that 58% of those with Internet access have made purchase online. To examine whether this percentage applies to its own state, a legislator commissions study. Random sample of 400 state residents who have Internet access is taken. Of those 400 respondents, 215 said that they have made purchases online. Does this sample give enough evidence to conclude that state varies from nation with respect to making purchase online at 0.05 level of significance?
The first unit produced after the calibration effort to be found to be defective. What is the probability that machine is in adjustment?
Find the probability of getting a head and rolling a six
Illustrate what can we say about the probability distribution. Is it approximately normal, elucidate the mean and standard deviation.
Develop a hypothesis to investigate this problem based on the claim of the heat pump manufacturer
Establish a 99% Confidence interval about the difference in the proportion of the town voters and county voters who favor the proposal.
Each party's position must be statistically sound. Include as suitable graphs, computations, and statistical tests.
Gas consumption of 3 cars (labeled car A, car B, and car C) using 4 different kinds of gasoline. Is there difference among kinds of gasoline?
Create a 99% confidence interval for mean overall duration of symptoms in population of individuals who used zinc lozenges.
Use MegaStat's output for multiple regression to determine the multiple regression equation
A company tracked the number of complaints it received during the first 6 months of last year, as shown in the following table:
What are the possible combinations of coins that Sanjay could have received in change?
Calculate a 3-month moving average forecast for months 4 through 9 also Compare the two forecasts by utilizing MAD. Which forecast appears to be more accurate.
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