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- Based on sample data, newborn males have weights with a mean of3250.3g and a standard deviation of 726.3g. Newborn females have weights with a mean of 3061.3g and a standard deviation of 546.4g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1600g or a female who weighs 1600g? Since the z score for the male is z= ?Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.74 hours of sleep, with a standard deviation of 2.55 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. Give your answers to 4 decimal places. Use at least 3 decimal places for your z-scores. (a) What is the probability that a visually impaired student gets less than 6.9 hours of sleep? answer: (b) What is the probability that a visually impaired student gets between 6.8 and 9.83 hours of sleep? answer: (c) Fourty percent of students get less than how many hours of sleep on a typical day? answer: hours problemAssume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.1% of the thermometers are rejected because they have readings that are too high and another 4.1% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings = _________ °C
- The brain volumes (cm) of 20 brains have a mean of 1098.4 cm° and a standard deviation of 120.1 cm. Use the given standard deviation and the range rule of thumb are significantly low or significantly high. For such data, would a brain volume of 1328.6 cm° be significantly high? identify the limits separating values that Significantly low values are cm or lower. (Type an integer or a decimal. Do not round.)Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.8% of the thermometers are rejected because they have readings that are too high and another 4.8% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings =_____________ °CSuppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 390 grams. If a 32-week gestation period baby weighs 2150 grams and a 40-week gestation period baby weighs 2350 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
- Suppose babies bom after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 395 grams. If a 33-week gestation period baby weighs 2625 grams and a 41-week gestation period baby weighs 2925 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) OA. The baby born in week 33 weighs relatively less since its z-score OB. The baby born in week 41 weighs relatively less since its z-score, OC. The baby born in week 41 weighs relatively less since its 2-score. OD. The baby bom in week 33 weighs relatively less since its z-score, is smaller than the 2-score of is smaller than the 2-score of is…Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be o, = 0.10 fluid ounces and o, = 0.15 fluid ounces for the two machines, respectively. Two random samples of n1 =12 bottles from machine 1 and n2 = 10 bottles from machine 2 are selected, and the sample mean fill volumes are I, = 30.87 fluid ounces and = 30.68 fluid ounces. Assume normality and use a = 0.05. Find the value of (a) zo and (b) P-value. а. none O b. zo = 3.24, P-value = 0.0036 z0 = 2.34, p-value = 0.0006 Oc. O d. zo = 3.42, p-value = 0.0003 %3DA prescription allergy medicine is supposed to contain an average of 245 parts per million (ppm) of active ingredient. The manufacturer periodically collects data to determine if the production process is working properly. A random sample of 64 pills has a mean of 250 ppm with a standard deviation of 12 ppm. Let u denotes the average amount of the active ingredient in pills of this allergy medicine. The null and alternative hypotheses are as Ho: μ = 245, Hau #245. The level of significance is 1%. The t-test statistic is 3.33 with a P-value of 0.0014. What is the correct conclusion? The mean amount of active ingredient in pills of this allergy medicine is greater than 245 ppm. The mean amount of active ingredient in pills of this allergy medicine is equal to 250 ppm. The mean amount of active ingredient in pills of this allergy medicine is equal to 245 ppm. moon amount of active ingredient in pills of this allergy medicine is not equal to 245 ppm.
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too high and another 1.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = ɔ.A 20,000-piece manufacturing run of 2200 resistors has a mean value of 2200 (naturally!) and a standard deviation of 2.50. They are to be sold as a 2% tolerance product, which means that the values must be between 0.98 x220 N = 215.60 and 1.02 x 220 0 = 224.40.stion 16: nts) A random sample of 200 psychology students was selected from a department's participant pool. A researchers determined each student's score on the NPI-16 and the number of his or her Facebook friends. The marginal distribution of NPI-16 scores was 4, with a standard deviation of 2. The marginal distribution "Facebook Friends" was 450, with a standard deviation of 200. The correlation between the two variables was .15. Assuming that NPI-16 is the predictor variable and Number of Facebook Friends is the outcome variable, compute the following: The lower limit of the 95% confidence interval around b. Note: Enter your answer to the second decimal place.