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MATH SOLVE
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Suppose you are conducting a study to compare firefly populations exposed to normal daylight/darkness conditions with firefly populations exposed to continuous light (24 hours a day). You set up two firefly colonies in a laboratory experiment. The two colonies are identical except that one colony is exposed to normal daylight/darkness conditions and the other is exposed to continuous light. Each colony is populated with the same number of mature fireflies. After 72 hours you count the number of living fireflies in each colony. Questions: a) Is this an experiment or an observational study? Explain. b) Is there a control group and a treatment group? Identify each group. c) What is the variable of interest in this study? What level of measurement is used?
General
4 months ago
The grades on a statistics test are normally distributed with a mean of 62 and Q1=52. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what grade is required to get a B or higher? Please round your answer to two decimal places.
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4 months ago
Bank of America’s Consumer Spending Survey collected data on annual credit cardcharges in seven different categories of expenditures: transportation, groceries, dining out,household expenses, home furnishings, apparel, and entertainment (US Airways Attache,December 2003). Using data from a sample of 42 credit card accounts, assume that eachaccount was used to identify the annual credit card charges for groceries (population 1) andthe annual credit card charges for dining out (population 2). Using the difference data, thesample mean difference was d¯¯¯= $850, and the sample standard deviation was sd= $1123.a. Formulate the null and alternative hypotheses to test for no difference between thepopulation mean credit card charges for groceries and the population mean credit cardcharges for dining out.b. Use a .05 level of significance. Can you conclude that the population means differ?What is the p-value?c. Which category, groceries or dining out, has a higher population mean annual creditcard charge? What is the point estimate of the difference between the populationmeans? What is the 95% confidence interval estimate of the difference between thepopulation means?
General
4 months ago
A sorcerer has hidden an M&M in one of an infinite row of boxes. You need to find it as quickly as possible. As a matter of fact, you only have time to look in 11 boxes. The sorcerer says that he will give you a hint, by tossing a coin 100 times, and counting the number of heads, all in a flash. He will then tell you the sum of the number that the box is in, and the number of heads that he got out of 100 tosses. If the sum is 75, you decide to look in boxes 20 through 30. What is the chance that you will locate the M&M? Choose the closest answer.
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4 months ago
The 2010 General Social Survey asked the question: "For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?" Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010.(a) Interpret this interval in context of the data.The researchers can be 95% confident that the sample mean number of ''not good'' days in the past 30 is between 3.40 and 4.24The researchers can be 95% confident that the true population mean number of ''not good'' days in the past 30 is between 3.40 and 4.2495% of surveys will report a mean number of ''not good'' days in the past 30 is between 3.40 and 4.24(b) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Will this new interval be smaller or larger than the 95% confidence interval?smaller since we have less room for errorlarger since the margin for error must be largersmaller since we will be more sure of our resultslarger since the standard error would be larger(c) If a new survey were to be done with 500 Americans, would the standard error of the estimate be larger, smaller, or about the same. Assume the standard deviation has remained constant since 2010.larger since we can be less sure of our estimate with a smaller sample sizesmaller since we can collect more accurate results from fewer individualsabout the same since the standard deviation has remained constant, so we shouldn't expect different results
General
4 months ago
The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than the confidence interval. B. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y. C. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. D. the confidence interval is wider than the prediction interval.
General
4 months ago
A physician wants to develop criteria for determining whether a patient's pulse rate is atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below. Male 96 64 88 64 84 84 68 64 68 64 Female 68 84 104 60 76 88 96 76 72 124 a. Construct a 95% confidence interval estimate of the mean pulse rate for males. ___<μ<___ (Round to one decimal place as needed.) b. Construct a 95% confidence interval estimate of the mean pulse rate for females. ___<μ<___ (Round to one decimal place as needed.) c. Compare the preceding results. Can we conclude that the population means for males and females are different? A. Yes, because the two confidence intervals do not overlap, we can conclude that the two population means are different. B. Yes, the population mean for males appears to be greater than the population mean for females. C. Yes, the population mean for females appears to be greater than the population mean for males. D. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different. A physician wants to develop criteria for determining whether a patient's pulse rate is atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below. Male 96 64 88 64 84 84 68 64 68 64 Female 68 84 104 60 76 88 96 76 72 124 a. Construct a 95% confidence interval estimate of the mean pulse rate for males. ___<μ<___ (Round to one decimal place as needed.) b. Construct a 95% confidence interval estimate of the mean pulse rate for females. ___<μ<___ (Round to one decimal place as needed.) c. Compare the preceding results. Can we conclude that the population means for males and females are different? A. Yes, because the two confidence intervals do not overlap, we can conclude that the two population means are different. B. Yes, the population mean for males appears to be greater than the population mean for females. C. Yes, the population mean for females appears to be greater than the population mean for males. D. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different.
General
4 months ago
Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet you one dollar that at least one of the four is a face card (i.e., Jack, Queen, or King). Should you take the bet? Why? (Hint: See how the probability of this event compares to 50%. If this is too hard, try it with replacement first.) (b) What if the bet involves picking three cards at random instead of four? Should you take the bet then? Why? (c) Refer to the posted Rcode folder for this part. Please answer all questions.
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4 months ago
4.5 Hen eggs: The distribution of the number of eggs laid by a certain species of hen during their breeding period is 35 eggs with a standard deviation of 18.2. Suppose a group of researchers randomly samples 45 hens of this species, counts the number of eggs laid during their breeding period, and records the sample mean. They repeat this 1,000 times, and build a distribution of sample means. What is this distribution called? Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed? Explain your reasoning. Calculate the variability of this distribution and state the appropriate term used to refer to this value. Suppose the researchers' budget is reduced and they are only able to collect random samples of 10 hens. The sample mean of the number of eggs is recorded, and we repeat this 1.000 times, and build a new distribution of sample means. How will the variability of this new distribution compare to the variability of the original distribution?
General
4 months ago
A random sample of 1500 home owners in a particular city found 465 home owners who had a swimming pool in their backyard. Find a 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard. Round your final answer to three decimal places.
General
4 months ago
Why is x = 4 a solution to the proportion 14/x = 56/16
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4 months ago
A computer password is to consist of 6 letters, none of which are used more than once. For security reasons, the letters Q and Z are not to be used in the first position. How many different passwords are possible?
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4 months ago
Define a variable and write an expression for the phrase. the quotient of 2 times a number and 8.
General
4 months ago
Which of the following options represents the graph of the function shown below?ƒ(x) = (x - 3)^3 1 1ƒ(x) = (x - 3)^3 + 1ƒ(x) = (x + 3)^3 - 1ƒ(x) = (x + 3)^3 + 1
General
4 months ago
Jonah and his friends went to the movie theater. He bought a movie ticket, and he split the cost of a giant popcorn with his friends. Jonah's costs are represented by the expression 11+15x11+15x .What do the different parts of the expression model?Drag the parts of the expression into the boxes to match each description.Cost of movie ticket Total cost of popcorn Jonah's portion of popcorn cost15 x 15/x 11
General
4 months ago
b(n)=-8-2(n-1) find the 9th term in the sequence
General
4 months ago
The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ? A. H - 625B.625 - hC.h + 625D.625 • h
General
4 months ago
The sum of a number and six is seven times the number Which is a given translation of the sentence into an equation?A. n=7n+6B. 7(n+6)=nC. n-6=7nD. n+6=7n
General
4 months ago
Part 1:Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?Part 2: Give an example of how prime factorization could be used in the real world.
General
4 months ago
What is the relationship between gross pay and net pay? A) gross pay is less than netB) gross pay is more than net C) gross pay is the same as net
General
4 months ago
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