)The standard error of the difference between the sample means ins
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The 9 tuataras measured at location A had a
a)The standard error of the difference between the sample means ins
2.44 g
14.33 g
83.29 g
205.23 g
b)The t statistic used to compare the two population means is
2.227
4.453
5.679
59.456
c)
To do a t test by hand, we can use the minimum degrees of freedom from the two samples. Here the degrees of freedom to be used is
8
13
21
22
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- A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)2) Given the following measurements of a distance, [15, 15, 5] 15.152+0.005 m. 15.163+0.003 m. 15.179+0.007 m. 15.174+0.005 m, 15.151+0.004 m, a) Calculate the (simple) mean and its standard deviation, b) Calculate the weighted mean using weights inversely proportional to the variances, c) Calculate the standard deviation of the weighted mean, d) Comment on the results.A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…
- Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L. d) What is the relative discrepancy between the measured value of L and its true value? Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm. e) Is this value more or less precise than the first value? f) Is this value more or less accurate than the first value? g) Do the two values agree given their uncertainties? h) What is the relative discrepancy between the two values?A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
- The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 38 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 Ib, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 175 lb, which is the…Suggest set of data between 15 and 30, and:- a. Find the mean value. b. Calculate the following: ii) Variance = iv) Standard deviation = of
- A livestock cooperative reports that the mean weight of yearling Angus steers is 1120 pounds. Suppose that the weights of all such animals can be described by a Normal model with a standard deviation of 64 pounds a) What percent of steers weigh over 1100 pounds? b) What percent of steers weigh under 1050 pounds? c) What percent of steers weigh between 900 and 1300 pounds?A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2 years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter A. mu = The mean life span of the 35 male symphony conductors in the sample B. p = The proportion of all male symphony conductors who life more than 69.5 years C. mu = The mean life span of all male symphony conductors D. mu = The mean life span of all males b. State the null and alternative hypotheses A. Upper H 0 : mu equals 73.2 Upper H 1 : mu greater than 73.2 B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5 C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5 D. Upper H 0…John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 representative readings was 23.76 mph, with a standard deviation of 3.53 mph. a) How many standard deviations from the mean would a car going the speed limit be? b) Which would be more unusual, a car traveling 35 mph or one going 8 mph? a) A car traveling at the speed limit is from the mean. (Round to two decimal places as needed.) b) Choose the correct answer below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) OA. B. standard deviations O C. The car traveling 35 mph is more unusual. It is standard deviations from the mean, while the car traveling 8 mph is standard deviations from the mean. The car traveling 8 mph is more unusual. It is standard deviations from the mean, while the car traveling 35 mph is standard deviations from the mean. Both cars are equally unusual. Both cars are standard…
