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Question 5


A statistician is studying blood pressure levels of Italians in the


age range 75-80. The following is some information about her study:




The data were collected by responses to a survey conducted by email,


and no measures were taken to get information from those who did not


respond to the initial survey email.



The sample observations only make up about 4% of the population.



The sample size is 2,047.



The distribution of sample observations is skewed - the skew is easy to see, although not very extreme.



The


researcher is ready to use the Central Limit Theorem (CLT) in the main


part of her analysis. Which aspect of the her study is most likely to


prevent her from using the CLT?

A train slow down from 200km/h With a uniform retardation of 10m/s². How long will it takes to reach 180km/h and what is the total distance covereds?


what would the correct expression be for a number which is twice as big as the number obtained after p has been divided by 3


(a) The differential equation (2š‘„ 2 + š‘š‘¦ 2 )š‘‘š‘„ + š‘š‘„š‘¦ š‘‘š‘¦ = 0 can made exact by multiplying with integrating factor 1 š‘„ ⁄ 2.

Then find the relation between š‘ and š‘. (b) Find one fourth roots of unity


A presidential candidate asks a polling organization to conduct a nationwide survey to determine the percentage of potential voters who would vote for him over his rival presidential candidate. Out of 2 500 respondents, 915 said that they would vote for him. If 35% of the of the potential votersvote for his rival, is this significantly different from the percentage of potential voters of the candidate who requested the survey? Use 5% level of significance

A factory manufacturing light-emitting diode (LED) bulbs claims that their light bulb lastfor 50 000 hours on the average. To confirm its this claim is valid, a quality control manager got a sample of 50 LED bulbs and obtained a life span of 40 000 hours. The standard deviation of the manufacturing process is 1 000 hours. Do you think the claim of the manufacturer is valid at the 5% level of significance?

name three verbs used in doing mathematics with examples


air is being pumped into a spherical balloon at a rate of 5cm^3/min. Determine the rate at which the radius of the balloon is increasing when the radius of the balloon is 20 cm



the number of defective production in a production process follows a poisson distribution with a mean of 2.6 per month, for a given month what is the probability there will be fewer than two defective production?


Ā A politician believes that 25% of all macroeconomists in senior positions would strongly support a proposal he wishes to advance. Suppose that this belief is correct and that five senior macroeconomists are approached at random. What is the probability that all 5 will strongly support the proposal?


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