ELABORATE 3-133. A company performs inspection on shipments from suppliers in order to defect nonconforming prod- ucts. Assume a lot contains 1000 items and 1% are nonconforming. What sample size is needed so that the probability of choosing at least one nonconforming item in the sample is at least 0.90? Assume the binomial approximation to the hypergeometric distribution is adequate.
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- please state the approximate distribution of the sample meanpopulation has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate u. a. What is the probability that the sample mean will be within 25 of the population mean? b. What is the probability that the sample mean will be within@10 of the population mean? L(Ctrl) -Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight: Less likely to be greater than 50 than less than 50Is less likely to be larger than 50 than smaller than 50 Is equally likely to be smaller or larger than 50 Is more likely to be larger than 50 than smaller than 50
- You take an SRS of size 64 from a population with mean 82 and standard deviation of 24. According to the Central Limit Theorem, what is the approximate sampling distribution of the sample mean? Use the 95 parts of the 68-95-99.7 rule to describe the variability of Xbar.Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distributions. The zloty is the official currency of Poland. During a recent period of two years the day ahead prices for a renewable energy in Poland have a mean of 158.51 and a standard deviation of 33.424. Random samples of size 100 are drawn from this population and the mean of each sample is determinedThe height of women ages 20-29 is normally distributed, with a mean of 64.9 inches. Assume σ=2.4 inches. Are you more likely to randomly select 1 woman with a height less than 66.8 inches or are you more likely to select a sample of 14 women with a mean height less than 66.8 inches? Explain.
- A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the α=0.10 level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired t-test is reasonable. Observation 1 2 3 4 5 6 Height of father (in inches) 70.1 74.5 69.5 65.1 69.6 65.9 Height of son (in inches) 69.5 75.9 71.7 69.4 71.5 70.7 What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons. A. H0: μ1=μ2 Ha: μ1<μ2 B. H0: μ1=μ2 Ha: μ1≠μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1≥μ2 Ha: μ1<μ2I am having some trouble with this questionSuppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
- For a perfectly nymmetrical distribution, which relationship is alvays true Manmdiarn moce O Mean median O Mean mode O Median-nodeThe height of women ages 20-29 is normally distributed, with a mean of 64.9 inches. Assume sigmaσequals= 2.6inches. Are you more likely to randomly select 1 woman with a height less than 67.4 inches or are you more likely to select a sample of 12 women with a mean height less than 67.4 inches? Explain. What is the probability of randomly selecting 1 woman with a height less than 67.4inches? round to four decimal placessolve B plz