22 - Assuming that 1000 women working in a factory have a normal division of age 40 with an arithmetic mean and a standard deviation of 10 years, find the number of women over 50 years old. A) 445 B) 528 C) 349 D) 276
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22 - Assuming that 1000 women working in a factory have a normal division of age 40 with an arithmetic
A) 445
B) 528
C) 349
D) 276
E) 158
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- A state wildlife service wants to estimate the mean number of days that each licensed hunter actually hunts during a given season, with a bound on the error of estimation equal to 3 hunting days. If data collected in earlier surveys have shown a to be approximately equal to 12, how many hunters must be included in the survey?A research worker wants to determine the mean time it takes a mechanic to rotate the tires ofa car, and she wants to be able to assert with 95% confidence that the average of her sample isoff by at most 0.50 minutes. If she can presume from past experience that σ2 = 2:56 minutes,how large a sample will she have to take?A state wildlife service wants to estimate the mean number of days that each licensed hunter actually hunts during a given season, with a bound on the error of estimation equal to 2 hunting days. If data collected in earlier surveys have shown σ to be approximately equal to 10, how many hunters must be included in the survey?
- Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitaions in the reliability of the balance, not all the readins are equal. The results are found to closley approxiamate a normal curve, with mean 88 g and standard deviation 1 g. Use the symmetry of the normal curve and the emirical rule as needed to estimate the number of students reporting readings more than 88 g.Recall also that for large sample values, the Central Limit Theorem applies. That is, as the sample size n increases without limit, the shape of the distribution of the sample means taken from the population with mean μμ, and standard deviation σσ, will approach a normal distribution. So, with the application of the Central Limit Theorem, approximately 95% of the sample means taken from a population will fall within ±1.96±1.96standard errors of the population mean. Thus, the interval estimate is given by, μ−1.96(σn√)toμ+1.96(σN√)μ−1.96(σn)toμ+1.96(σN) The General Formula for confidence intervals for large samples is: lower confidence boundary or limit < population mean< upper confidence boundary or limit X−zα2(σn√)<μ<X+zα2(σn√)X−zα2(σn)<μ<X+zα2(σn) Also consider the following: Confidence Level zα2valueszα2values (confidence coefficients) 90% ±1.645±1.645 95% ±1.96±1.96 99% ±2.58±2.58 A Four-step Process in Computing the Interval Estimates Step…Assume that the average life of a color TV is 7.8 years with a standard deviation of 1.7 years before it breaks. Suppose that a company guarantees color TVs and will replace a TV that breaks while under guarantee with a new one. However, the company does not want to replace more than 7% of the TVs under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
- Suppose duration of pregnancy has a mean of 266 days and a standard deviation of 16 days. Use Chebyshev's Theorem to estimate the proportion of pregnancies lasting between a) 250 days and 282 daysb) 242 days and 290 days c) 282 days and 298 daysd) 250 days and 298 dayse) 266 days and 314 daysf) 234 days and 314 daysFrom a sample with n=36, the mean duration of a geyser's eruptions is 3.07 minutes and the standard deviation is 0.88 minutes. Using Chebychevs's Theorem, determine at least how many of the eruptions lasted between 0.43 and 5.71 minutes.The central limit theorem states that if all possible random samples of sizeNare drawnfrom a population with a mean ofμ ̄Xand a standard deviation ofσ ̄X, then asNbecomeslarger, the sampling distribution of sample means becomes approximately (_______) with a mean of (______) and a standard deviation of (______). Fill in the blanks
- Suppose that the amount of time (in hours) that it takes for a phone to fully charge has a normal distribution with a mean of 5 hours and a standard deviation of 0.6 hours. a.Find the charging time interval in which 68% of the phones fall under. b. Find the charging time interval in which 95% of the phones fall under.use a normal approximation to find the probability of the indicated number of voters. In the case, assume that 178 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that fewer than 41 voted.Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 175 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted Probability that fewer than 44 voted