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Parking Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. Dur-ing a two-month period (44 weekdays), daily fees collected av-eraged $126, with a standard deviation of $15. a) What assumptions must you make in order to use these statistics for inference? b) Write a 90% confidence interval for the mean daily income this parking garage will generate. c) Interpret this confidence interval in context. d) Explain what "90% confidence" means in this context. e) The consultant who advised the city on this project predicted that parking revenues would average $130 per day. Based on your confidence interval, do you think the consultant was correct? Why?
General
5 months ago
In a recent year, a poll asked 2362 random adult citizens of a large country how they rated economic conditions. In the poll, 22% rated the economy as Excellent/Good. A recent media outlet claimed that the percentage of citizens who felt the economy was in Excellent/Good shape was 24%. Does the poll support this claim? a) Test the appropriate hypothesis. Find a 99% confidence interval for the proportion of adults who rated the economy as Excellent/Good. Check conditions. b) Does your confidence interval provide evidence to support the claim? c) What is the significance level of the test in b? Explain.
General
5 months ago
Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female babies? minus −0.2 in. less than < mu 1 μ1 minus − mu 2 μ2 less than <1.7 in.a female babies are longerb male babies are longerc there is no difference in the length between male and female babies
General
5 months ago
A random sample of 500 adult residents of Maricopa County found that 356 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 297 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for in increasing the speed limit between the residents of the two counties? Use α = 0.05.a) do these data indicate that there is a difference in thesupport for increasing the speed limit between residents of the twocounties? Use α = 0.05. What is the P-value forthis test?b) construct a 95% confidence interval on the difference inthe two proportions. Provide a practical interpretation ofthis interval.Please show formulas
General
5 months ago
A very large gardening business grows rose bushes for sale to garden stores around the world. The most popular colors are red, pink, and white. The business decides on 50% red roses, 30% pink, and 20% white. A gardener orders 10 rose bushes selected randomly from a huge field. Her primary interest is in pink roses. A good model for the number of bushes with pink roses is given by the binomial distribution.The probability of getting at least 3 pink rose bushes is: (a) 0.5. (b) 0.617. (c) 0.348. (d) 0.259.
General
5 months ago
Verify that the given vector field h is a gradient. Then calculate the line integral of h over the indicated curve C by finding f such that the gradient f = h and evaluating f at the end points of C.h(x,y) = xy^2 i + yx^2 jr(u) = u i + 2u^2 j0 ? u ? 1Please show all the steps so that I will know where i am making a mistake. I have attempted this question 4 times and i do not know where am going wrong. The correct answer is 2. I keep getting 4.
General
5 months ago
Scores on the SAT college entrance test in a recent year were roughly Normal with mean 1026 and standard deviation 209. You choose an SRS of 100 students and find their average SAT score, x-bar. If you repeatedly take SRS of 100 students and calculate x-bar for each sample, then the mean of the sampling distribution you create will be closest to
General
5 months ago
Which of the following is an equation for the line that passes through the point (0,0) and is perpendicular to the line shown above ?
General
5 months ago
ABC Company has made a claim that, on average, their diet soda has less than one calorie. A consumer testing service examined nine cans, and the amount of calories recorded were 0.90, 0.95, 1.00, 1.05, 0.85, 1.00, 0.95, 0.95 and 0.90. Assume the underlying population is approximately normal. a. What are the sample mean and sample standard deviation, respectively?b. Let μ denote the true mean calories of all diet sodas produced by ABC Company. What hypothesis should be tested in order to show if ABC’s claim is valid?c. The appropriate statistic to test this hypothesis is ______d. The value of the test statistic is ______e. The appropriate number of degrees of freedom for this test statistic is ______f. What conclusion can be made with 95% confidence?
General
5 months ago
A university claims its recent graduates earn an average annual salary of $50,000. You draw a random sample of 30 recent graduates and find that their average salary is $47,000, with a standard deviation of $5,000. What is the estimate of the standard error of the mean for this data?
General
5 months ago
"What is the probability that in 10 dice throws, you will throw AT LEAST two ‘3’s on the dice? Assume you’re throwing a single die each time."
General
5 months ago
Seven previously untrained males performed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training.
General
5 months ago
Seven points are marked on the circumference of a circle. How many different chords can be drawn by connecting two of these seven points?
General
5 months ago
A baseball is thrown in a parabolic arc. Help?
General
5 months ago
n a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice his average rate in the afternoon. He spent 5 hours driving. Find his average rate on each part of the trip.
General
5 months ago
In Miller county, the voting in annual elections have gone down by a consistent percentage each year and can be modeled bythe function y = 5,700(0.94) What does the value 0.94 represent in the function?The decay factor of voters.The initial number of voters.The number of time intervals.The number of voters after t years,
General
5 months ago
16)- In Miller county, the voting in annual elections have gone down by a consistent percentage each year and can be modeled bythe function y = 5,700(0.94) What does the value 0.94 represent in the function?The decay factor of voters.The initial number of voters.The number of time intervals.The number of voters after t years.
General
5 months ago
A recording company obtains the blank CDs used to produce its labels from three compact disk manufacturers: I, II, and III. The quality control department of the company has determined that 1% of the compact disks produced by manufacturer I are defective, 7% of those produced by manufacturer II are defective, and 3% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 36%, 20%, and 44%, respectively, of the compact disks used by the company. What is the probability that a randomly selected label produced by the company will contain a defective compact disk?
General
5 months ago
An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 5 km east of the refinery. The cost of laying pipe is $200,000/km over land to a point P on the north bank and $400,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located?
General
5 months ago
If f(x) = 5x2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. R6 =
General
5 months ago
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