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- Fluoride Exposure in Drinking WaterExercise 2.250 introduces a study showing thatfluoride exposure might have long-term negativeconsequences for the offspring of pregnant women.Part of the study examines the effect of adding flu-oride to tap water on mean fluoride concentrationin women. Summary statistics for fluoride concen-tration (measured in mg/L) for the two groups are given in Table 6.17. Find and interpret a 99% con-fidence interval for the mean increase in fluorideconcentration for those with fluoridated tap water. 1. find the t-score enter positive z-score 2. find the standard of error round 4 decimal places. 3 find the margin of error round 4 decimal placesCompute the symmetric 95% interval estimate for the mean of the quartz monzonite data.Compute the sample mean and the mean assuming the data are lognormal. Which point estimateis more appropriate for these data? Why?Chloride concentration, in mg/LQuartz Monzonite 1.0 0.2 1.2 1.0 0.3 0.10.1 0.4 3.2 0.3 0.4 1.80.9 0.1 0.2 0.3 0.5The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- A company manufacturers tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.5 inches. This average is maintained by periodically testing random sampkes of 25 tennis balls. If the t-value falls between -t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sampke is 56.4 inches and the standard deviation is o.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptablr tennis balls? Find -t0.99 and t0.99 Find the t-value Is the company making acceptable tennis balls?3. The probability of successfully navigating an asteroid field in a science fiction movie is found to be 0.01. A total of2000 spaceships attempt to navigate the field, and the number that make it through is recorded. Can thisdistribution be modelled using a normal approximation?Perform a a Pearson’s correlation in SPSS to determine whether the weight of an automobile (‘weight’: Vehicle Weight-lbs) is significantly correlated with its horsepower (‘hp’: horse power). Use a two-tailed test with α = .01 The alternative hypothesis in symbols and null hypothesis in words is:
- True or False: A Biserial correlation is a theoretical correction for a Pearson’s correlation between one dichotomous variable and a continuous variable—correcting for limits on the Pearson that occur when two variables don’t have equal distributions, and applicable only when the dichotomous variable is presumed to be truly continuous.How do we find the gamma and the p-value to evaluate the hypothesis that people who are more satisfied with their jobs are more likely to be happily married than those who are less satisfied with their jobs? The table is attatched.A producer invents an additive to increase the life of an automobile battery he produces. If the mean lifetime of the automobile battery without the additive is 48 months, then her hypotheses areA producer invents an additive to increase the life of an automobile battery he produces. If the mean lifetime of the automobile battery without the additive is 48 months, then her hypotheses are
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.015 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.Researchers recruited a sample of 40 female and 40 male heterosexual Caucasian undergraduate students from British universities for a study of the attractiveness of body types. Among adults, a body mass index (BMI, in kg/m2 ) value between 18.5 and 24.9is considered healthy, but attractiveness may not be entirely about health. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. The Minitab output for the mean ideal BMI of the women and of the men respectively is shown. From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. Does the study provide evidence that young Caucasian women in British universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5 )? test statistic,t = p-value =The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic: t= (round to one decimal)
