Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 23 specimens from the seam was 4.85. (Round your answers to two decimal places.) (b) Compute a 98% CI for true average porosity of another seam based on 15 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
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- Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.73. (b) Compute a 98% CI for true average porosity of another seam based on 18 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)The absolute viscosity for sunflower oil is supposed to average 0.0311 Pa⋅s at 38 ∘C. Suppose a food scientist collects a random sample of 4 quantities of sunflower oil and computes the mean viscosity for his sample to be x¯=0.0318 Pa⋅s at 38 ∘C. Assume that measurement errors are normally distributed and that the population standard deviation of sunflower oil viscosity is known to be σ=0.0009 Pa⋅s. The scientist will use a one‑sample z‑test for a mean, at a significance level of α=0.01, to evaluate the null hypothesis, H0:μ=0.0311 Pa⋅s against the alternative hypothesis, H1:μ≠0.0311 Pa⋅s. Complete the scientist's analysis by calculating the value of the one-sample z‑statistic, the p‑value, and then deciding whether to reject the null hypothesis. First, compute the z‑statistic, z. Provide your answer precise to two decimal places. Avoid rounding within calculations. z= Determine the P-value of the test using either a table of standard normal critical values or…Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1g/dL. Research shows that exactly 95% of healthy females have a hemoglobin level below 16.2 g/dL. What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
- A park ranger is searching for bears in a region of the park where on average there are 5 bears per square mile. The bears are solitary independent creatures, so it is reasonable to assume that the numbers of bears in disjoint regions are independent unknowns and that the number expected in any region is proportional to the area of the region. The ranger can also assume that in a very tiny region, say a square inch, it is impossible to find more than one bear. What is the standard deviation in area (in square miles) he has to search in order to find 16 bears?Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.2 gmdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.8 gmdL . What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. _ gmdL?=Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.2 g/dL. Research shows that exactly 95% of healthy females haha a hemoglobin level of below 16.2 g/dL. What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
- Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 16 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females? Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5 microns and the population standard deviation is 0.2 microns, what is the largest diameter particle (in microns) that will pass through the filter? Assume that the diameter of particles in the air is normally distributed.An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5 microns and the population standard deviation is 0.2 microns, what is the largest diameter particle (in microns) that will pass through the filter? Assume that the diameter of particles in the air is normally distributed. round to three significant figures
- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 3400 grams nd a standard deviation of 470 grams. If a 34-week gestation period baby weighs 2500 grams and a 40-week gestation period baby weighs 2900 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 430 grams. If a 32-week gestation period baby weighs 2500 grams and a 40-week gestation period baby weighs 3000 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 40. B. The baby born in week 40 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32. C. The…Suppose that the volume of sound generated by heavy machinery in a factory is normally distributed, with a mean of 50 dB and a standard deviation of 10 dB. If measurements are taken twice an hour during an eight hour period, 20% of the sample average sound volumes will be above what value?"