Question 1A poll of 100 Canadians asked whether marijuana should be le

Question 1A poll of 100 Canadians asked whether marijuana should be le

Question 1A poll of 100 Canadians asked whether marijuana should be legalized for medical purposes. 72 said definitely yes, 20 said probably, 2 said probably not, 5 said definitely not, and 1 had no opinion. Does this data provide sufficient evidence that more than 70% of Canadians would answer definitely yes? State the null hypothesis and the conclusion for significance level ? = 0.05.a)H0: p = 0.70; Reject H0.b)H0: p = 0.72; Do not reject H0.c)H0: p = 0.72; Reject H0.d)H0: p = 0.70; Do not reject H0.Question 2Provide an appropriate response.Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of 100 items is drawn from this population. What is the standard error of the mean?a)18.0b)0.25c)1.8d)2.5Question 3Provide an appropriate response.Suppose x is a uniform random variable with c = 40 and d = 80. Find the probability that a randomly selected observation exceeds 52.a)0.1b)0.7c)0.3d)0.9Question 4Provide an appropriate response.The number of violent crimes committed in a day possesses a distribution with a mean of 1.2 crimes per day and a standard deviation of four crimes per day. A random sample of 130 days was observed, and the sample mean number of crimes for the sample was calculated. The data that was collected in this experiment could be measured with a __________ random variable.a)continuousb)discreteQuestion 5A company produces refrigerators for beer kegs. The refrigerators are supposed to maintain a mean temperature of 46F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the company and claims that the mean temperature is incorrect. Identify the type I error for the test.a)Fail to reject the claim that the mean temperature is equal to 46F when it is actually 46F.b)Fail to reject the claim that the mean temperature is equal to 46F when it is actually different from 46F.c)Reject the claim that the mean temperature is equal to 46F when it is actually different from 46F.d)Reject the claim that the mean temperature is equal to 46F when it is actually 46F.Question 6Describe the sampling distribution of.N = 20,000, n = 350, p = 0.7a)?p = 245, ?p = 8.57b)?p = 0.7, ?p = 0.024c)?p = 0.7, ?p = 0.1025d)?p = 5, ?p = 0.024Question 7Provide an appropriate response.Given the equation of a regression line is = 4x – 3, what is the best predicted value for y givena)9b)29c)20d)35Question 8State the conclusion to the significance test.A local company claims that the number of days missed by its employees due to illness is different than the national average of 5 days. Based on a random sample of 24 employees, it is found that:Test statistic t=-1.96P-Value = 0.062Choose the correct conclusion for significance level ? = 0.10.a)Do not reject H0.There is not enough evidence to conclude the true mean number of sick days is different than 5 days.b)Do not reject H0.There is enough evidence to conclude the true mean number of sick days is different than 5 days.c)Reject H0.There is not enough evidence to conclude the true mean number of sick days is different than 5 days.d)Reject H0.There is enough evidence to conclude the true mean number of sick days is different than 5 days.Question 9Find the margin of error for the 95% confidence interval used to estimate the population proportion.In a clinical test with 2219 subjects, 70% showed improvement from the treatment.a)0.0211b)0.0160c)0.0254d)0.0188Question 10Find the value of z?.z0.04a)1.88b)0.52c)-1.75d)1.75Question 11Provide an appropriate response.A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) =P(B) = 0.97, P(C) = 0.96, and P(D) = 0.99. Find the probability that at least one of the four parts will work. Round to six decimal places.a)0.105769b)1c)0d)0.894231Question 12The systolic blood pressue for a randomly selected group of patients is summarized in the histogram below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about the mean systolic blood pressure?a)No, a large sample is not necessary since data appear to come from a normally distributed population.b)Yes, a large sample is necessary since data appear to come from a normally distributed population.c)Yes, a large sample is necessary since data distribution is skewed right.d)Yes; a large sample is necessary since data distribution is skewed left.Question 13Provide an appropriate response.Construct a 95% confidence interval for the population mean, ?. Assume the population has a normal distribution. A sample of 20 part-time workers had mean annual earnings of $3120 with a standard deviation of $677. Round to the nearest dollar.a)($2135, $2567)b)($2803, $3437)c)($1324, $1567)d)($2657, $2891)Question 14Provide an appropriate response.The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of2600 miles. What is the probability a particular tire of this brand will last longer than 57,400 miles?a)0.1587b)0.8413c)0.2266d)0.7266Question 15The following double-bar graph illustrates the revenue for a company for the four quarters of the year for two different years. Use the graph to answer the question.In what quarter was the revenue the least for Year 1?a)first quarterb)third quarterc)second quarterd)fourth quarterQuestion 16Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.Test the claim that for the adult population of a certain town, the mean annual salary is given by Sample data are summarized as and Find the test statistic t.a)2.24b)-2.24c)1.57d)-9.22e)-1.57Question 17Provide an appropriate response.An article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 46% would like more discussion about the family’s financial situation, 37% would like to talk about school, and 30% would like to talk about religion. These and other percentages were based on a national sampling of 524 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a99% confidence level. Express the answer in the form E and round to the nearest thousandth.a)0.37 0.054b)0.37 0.002c)0.63 0.054d)0.63 0.002Question 18Provide an appropriate response.A recent survey found that 80% of all adults over 50 wear sunglasses for driving. In a random sample of 50 adults over 50, what is the mean and standard deviation of those that wear sunglasses?a)mean: 40; standard deviation: 6.32455532b)mean: 10; standard deviation: 6.32455532c)mean: 10; standard deviation: 2.82842712d)mean: 40; standard deviation: 2.82842712Question 19Provide an appropriate response.The regression line for the given data is = -0.206x + 2.097. Determine the residual of a data point for which x = -2 and y = 1.a)-3.891b)-1.509c)3.509d)2.509Question 20Provide an appropriate response.The produce manager at a farmer’s market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number for analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x apples. Determine the mean number of oranges purchased by a customer.x12345678910P(x)0.050.190.200.250.120.1000.0800.01a)4b)3.97c)3d)5.50Question 21A manufacturer claims that the mean amount of cola in its 16 ounce bottles is A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.a)H0: ? = 16.1 ouncesH1: ? < 16.1 ouncesb)H0: ? = 16.1 ouncesH1: ? > 16.1 ouncesc)H0: ? < 16.1 ouncesH1: ? > 16.1 ouncesd)H0: ? = 16.1 ounce
sH1: ? ? 16.1 ouncesQuestion 22Provide an appropriate response.Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 95% confidence. Assume that s = 17based on earlier studies.a)9b)167c)70d)1Question 23Provide an appropriate response.Consider the discrete probability distribution to the right when answering the following question. Find the probability that x exceeds 5.a)0.24b)0.76c)0.47d)0.71Question 24Solve the problem.A single die is rolled twice. Find the probability of getting a 4 the first time and a 5 the second time. Express the probability as a simplified fraction.a)b)c)d)Question 25Provide an appropriate response.H0: ? = 8.1H1: ?< 8.1a)Left-tailedb)Right-tailedc)Two-tailedQuestion 26Provide an appropriate response.In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system to a semester-system. How many students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval?a)205b)182c)114d)261Question 27Provide an appropriate response.Draw a normal curve with ? = 60 and ? = 20. Label the mean and the inflection points.a)b)c)d)Question 28Provide an appropriate response.The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were15 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.a)between 11 and 19 hours per weekb)between 3 and 27 hours per weekc)between 7 and 23 hours per weekd)less than 11 and more than 19 hours per weekQuestion 29A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of 100 doctors results in 82 who indicate that they recommend brand Z. The test statistic in this problem is approximately (round to the nearest hundredth):a)-2.67b)2.67c)-2.17d)-2.33Question 30Provide an appropriate response.The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will exceed $7500?a)0.0869b)0.0853c)0.9147d)0.9131Question 31Provide an appropriate response.Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find more than 25 substandard welds?a)0.5040b)0.0040c)0.4960d)0.9960Question 32Provide an appropriate response.The probability that an individual has 20-20 vision is 0.18. In a class of 18 students, what is the probability of finding five people with 20-20 vision?a)0.000b)0.278c)0.18d)0.123Question 33Provide an appropriate response.The commute times (in minutes) of 30 employees are listed below. Find Q3.a)83 minb)56 minc)82 mind)72 minQuestion 34Solve the problem.The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a man or a non-drinker. Round your answer to three decimal places.a)0.948b)0.931c)0.819d)0.941Question 35Provide an appropriate response.A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 50 seconds. The fitness association wants to recognize the boys whose times are among the top (or fastest) 10% with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association?a)534 secb)552.25 secc)387.75 secd)406 sec