Find the value ofthe line ar correlation coefficient r Find the critical values ofr from table A-6 using x= 0.05 Determine whether there is sufficient evidence to support a claim of a linear correlation Between the two variables.
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- Two independent laboratories have produced drugs that provide relief to arthritis and the results is shown below. At 5% level of significant, can we conclude that the drug produced by laboratory A significantly causes a shorter period of relief (in Hours) than that of a drug produced by laboratory B?LaboratorySampleMeanStandard Deviation A754.52.5 B605.52.0Q.5.2 The CEO of a large financial institution claims that, on average, their clientsinvest more than R150 000 per year in a particular portfolio. Test this claim atthe 10% significance level if it was found that a sample of 25 clients invested anaverage of R145 000 in the portfolio over the last year, with a standarddeviation of R15 000.The united States ranks ninth in the world in per capita chocolate consumption; the aver- age American eats 9.5 pounds of chocolate annually (Forbes, July 22, 2015). Suppose you are curious whether chocolate consumption is higher in Hershey, Pennsylvania, the location of The Hershey Company’s corporate headquarters. A sample of 36 individuals from the Hershey area showed a sample mean annual consumption of 10.05 pounds and a standard devi- ation of s = 1.5 pounds. using α = 0.05, do the sample results support the conclusion that mean annual consumption of chocolate is higher in Hershey than it is throughout the united States?
- C.2 A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label. How many packages of ground beef should be tested to estimate this proportion to within .05 with 95% confidence?(still referring to the table) For a one-unit increase in X1 for observations with X2=0, what is the expected change in Y? What about for observations with X2=1? a. -0.778 b. 0.344 c. 0.055 d. -0.723In an attempt to reduce the growth of its population, China instituted a policy limiting a familyto one child. Rural Chinese suggested revising the policy to limit families to one son. Assumingthe suggested policy is adopted and that any birth is as likely to produce a boy as a girl, and thesuccessive births are independent, explain the following: (a) What would be the average family size? (b)What would be the ratio of newborn boys to newborn girls?
- The research examining the effects of preschool childcare has found that children who spent time in day care perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended day care before starting school had an average score of M = 87 with SS = 1536 on standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α = .01. a. Is this sample sufficient to conclude that the children with a history of preschool day care are significantly better from the general population? b. Compute the 95% confidence interval.The research examining the effects of preschool childcare has found that children who spent time in daycare perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended daycare before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α= .01 a. Is this sample sufficient to conclude that the children with a history of preschool daycare are significantly better from the general population? b. Compute the 95% confidence interval. show all workAs with other products, Fisher-Price faces the decision of how many Weather Teddy units to order for the comingholiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or28,000 units. The wide range of order quantities suggested indicates considerable disagreement concerning themarket potential. The product management team asks you for an analysis of the stock-out probabilities forvarious order quantities, an estimate of the profit potential, and to help make an order quantity recommendation.Fisher-Price expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains afterthe holiday season, Fisher-Price will sell all surplus inventory for $5 per unit. After reviewing the sales historyof similar products, Fisher-Price’s senior sales forecaster predicted an expected demand of 20,000 units with a.95 probability that demand would be between 10,000 units and 30,000 units. Prepare a managerial report that addresses the…
- Attempt 22 Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 150 lbs and standard deviation equal to 17 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 154 lbs. Roger uses a ?z‑test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the ?z‑statistic as 1.66 standard deviations above the mean. Use this standard normal z‑distribution table to calculate the ?-valueP-value of this statistic. Give your answer as a decimal rounded to four places.In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micro-grams above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7. a) Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not. b) Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.This is the last practice problem I have on my mid-term sheet. Ty for helping me! Find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 98% confidence that the error is smaller than 0.05. Answer: n1=n2=