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Question: Average soap consumption in a certain country is believed to be 2.5 bars per person per month. The standard deviation of the population is known to be σ = 0.8. While the standard deviation is not believed to have changed (and this may be substantiated by several studies), the mean consumption may have changed either upward or downward. A survey is therefore undertaken to test the null hypothesis that average soap consumption is still 2.5 bars per person per month versus the alternative that it is not. A sample of size n = 20 is collected and gives x¯ = 2.3. The population is assumed to be normally distributed. What is the appropriate test statistic in this case? Conduct the test and state your conclusion. Use α = 0.05. Does the choice of level of significance change your conclusion? Explain.
A newspaper ad for a manager trainee position contained the statement "Our manager trainees have a first-year earnings average of $20,000 to $24,000." Do you think that the ad is describing a confidence interval? Explain your answer.
True or false and explain: because the sons average an inch taller than the fathers, if the father is 72 inches tall, it's 50-50 whether the son is taller than 73 inches. Find the regression line of son's height on father's height, and its RMS erro..
A standard deck of 52 cards is shuffled thoroughly and n cards are turned up. What is the probability that a face card turns up? For what value of n is the probability about .5?
Found mean number of sticks of gum chewed per day was 9. Standard deviation of population is 1. At α = .05, is number of sticks of gum person chews per day actually is greater than 8?
A firm predicts it will use 560,000 gallons of water next year. If the seasonal index of water consumption is 135 for the second quarter of the year, what is the forecast for water consumption during that quarter?
Findout probabilities utilizing standard normal distribution. If the debt is normally distributed with a standard deviation.
The problem related to Statistics and it defines about calculation of average of students test score and representing it on a graph.
It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
Agent blue is a herbicide that was used against the Vietnamese. What type of poisonous compound does it contain?
Let µ be a finite Borel measure on a separable metric space S. As- sume µ({x }) = 0 for all x ∈ S. Prove that there is a set A of first cat- egory (a countable union of nowhere dense sets; see Theorem 2.5.2) with µ(S\ A) = 0.
In the study of age and systolic blood pressure of five randomly selected subjects, a researcher reported the following data.
What is the probability that a person total charges are $1000 or more?___________ (type an integer or decimal group or 2 decimal places as needed)
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