Elementary school: In a certain elementary school, 49% of the students are girls. A sample of 65 students is drawn. Use the O Cumulative Normal Distribution Table or technology. Round your answer to four decimal places. Part: 0/ 2 Part 1 of 2 (a) What is the probability that more than 60% of them are girls? The probability that more than 60% of them are girls is

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Math 23 Practice Test 3 (1) The diameters of oranges from a Florida orchard are normally distributed = 3.2 inches and standard deviation o= 1.1 inches. with mean (a) What is the probability that a randomly selected orange is more than 3.5 inches? (b) What is the probability that a randomly selected orange is between 3 and 3.5 inches? (c) A gift box contains 9 oranges. What is the probability that the mean diameter for this sample is smaller than 3.5 inches? (2) Let a denote the amount spent at a grocery store. Assume x is normally distributed with standard deviation a $11.46. Ten customers' bills were recorded, there average bill was $89.38. Find a) The margin of error. b) A 95% confidence interval for the population mean.

New Survey A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d). Old Survey % Frequency, f 112 Response Rewards 27% 23% 97 Low rates Cash back Discounts Other 21% 108 9% 48 20% 60 a. State H, and H, and identify the claim. What is the null hypothesis, Ho? O A. The distribution of motivations is 27% rewards, 23% low rate, 21% cash back, 9% discounts, and 20% other. O B. The distribution of motivations is 112 rewards, 97 low rate, 108 cash back, 48discounts, and 60 other. O C. The distribution of motivations differs from the expected distribution. What is the alternate hypothesis, H2? O A. The distribution of motivations differs from the claimed…

Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p=0.326. As part of a tax audit, tax officials draw a simple sample of n=140 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary. Part 1 of 4 (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.32? The probability that the sample proportion of tax returns for which no tax was paid is less than 0.32 is Part 2 of 4 (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.37 and 0.40? The probability that the sample proportion of tax returns for which no tax was paid is between 0.37 and 0.40 is

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Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.   A survey of adults in a region found that 52​% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts​ (a) through​ (d) below ) Find the probability that the number who have encountered fraudulent charges on their credit cards is​ (a) exactly 54​, ​(b) at least 54​, and​ (c) fewer than 54.   enter your response here ​(Round to four decimal places as​ needed.) .

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 77% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. No, because nq H= 77 H= 77 H=77 The normal distribution cannot be used to approximate the binomial distribution. 63 79 91 63 79 91 63 79 91 (b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 79.

Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p=0.326.As part of a tax audit, tax officials draw a simple sample of n=130 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.   1.(a)What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.29?The probability that the sample proportion of tax returns for which no tax was paid is less than 0.29 is  (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.41? The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.41 is (c)What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32? The probability that the sample proportion of tax returns for which no tax was paid…