(a) Convert both x¡ and x2 values to z values, and locate both of these values under the standard normal curve. (b) Which of these two items is the more unusual as an archaeological find in its location?
Q: What proportion of a normal distribution is located in the tail beyond z = –1.00?
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Q: Which proportion of a normal distribution is located between z = 0 and z = +1.50?
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A: Given : Standard normal variable Z with Mean=0 Standard deviation=1 i.e Z~N(0,1)
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Q: 1. What X score corresponds to the lowest 16.60% of the scores where u = 20 and o=2 for a Normal…
A: Given Data: Let X represent the normal distribution X~ Normal (20, 22)
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A: According to the given information, we have 90th percentile is given.
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A: Given information Two tailed Hypothesis P( Z < -z) +P(Z>z) = 0.05 2P(Z < -z) = 0.05
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Q: For a standard normal distribution, find: P(Z < 2.11)
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Q: What proportion of a normal distribution is located between the mean and z = 1.40?
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A: It is known that, t and z, both of the distributions are symmetric and bell shaped.
Q: What proportion of a normal distribution is located between z = -1.25 and z = +1.25?
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Q: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…
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Q: For a standard normal distribution, find: P(z < -0.21)
A: From the provided information, P (z < -0.21)
Q: 25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).
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A: Introduction :
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A: Ans- Which of the following is not a property of the normal curve?
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Q: What proportion of a normal distribution is located between z = –0.60 and z = 0.60?
A: Given that, Z = -0.60 and Z = 0.60
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Q: In a standard normal distribution, the range of values of z is from
A: For above 5. ASWSBE14 6.TB.2.015 The range of values of z is always between minus infinity and…
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- Which of the following is not true about the normal curve? * A. The tails of the curve are asymptomatic to the horizontal line. B. The number of data points at both sides of the curve is the same C. The two sides of the normal curve is symmetrical with respect to the center. D. The measures of central tendency all coincide at the center.J 1 IQ scores of people around the World are normally distributed, with a mean of 100 and a standard deviation of 15. A genius is someone with an IQ greater than or equal to 140. What percent of the population is considered genius? The Weights of 100 remote control cars at a competition are approximately normally distributed. The average weight is 3.2 kg, with a standard deviation of 0.4 kg. How many remote control cars would be disqualified if it were against the rules to have a car with a weight of more than 4 kg or less than 2.4 kg? A car is said to be in the 90th percentile. How much does it weigh? Using the Statistics for 42 Countries, choose one variable to collect for each of the countries. You may use the data you have collected in the past. Calculate the percentile of the country for the collected variable by first calculating the mean, standard deviation and z-score. If you sort the countries by the variable from highest to lowest, what percent of the countries are below the…In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0? Does the result in part (a) allow you to conclude that there is a strong correlation between eccentricity and smoothness? Explain.
- QUESTION 4 According to previous research, the mean amount of money spent on gifts for the holiday season by aworking adult is $1500. With the current prices in Trickidad, a young researcher believes that thisamount has been increased.She takes a random sample of 60 working adults and collects data on the amount of money they havespent on gifts for the current holiday season, giving a mean of $1650.Assume that the population standard deviation for the amount of money spent on gifts for the holidayseason by a working adult is $150 and that this amount of spending is normally distributed.(a) Construct a 95% confidence level for the mean amount of money spent on gifts for the holidayseason by a working adult. Interpret your answer. (b) Is there any evidence at 5% level of significance to suggest that the mean amount of moneyspent on gifts for the holiday season by a working adult has increased? Use the critical valueapproach in arriving at your conclusion showing clearly all the required…Question 3 An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 25 cars driven by men on a highway and found the mean speed to be 70 miles per hour with a standard deviation of 3.2 miles per hour. Another sample of 16 cars driven by women on the same highway gave a mean speed of 72 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with the same population standard deviation. (a) Let μ1 and μ2 be the population means of driving speed by men and women drivers, respectively. Find the point estimate for difference between the mean speeds of men and women drivers. (b) Test at the 1% significance level whether the mean speed of cars driven by all men drivers on this highway is greater than that of cars driven by all women drivers.Question #4 A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At α=0.05 is there enough evidence to support the consumergroup's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. To Do: 1.) Identify the claim and state H0 and Ha. Do not round. 2.) The claim is the ___ hypothesis 3.) Use technology to determine the P-value. First calculate the standardized test statistic for the t-test, rounding to two decimal places. 4.) Decide whether to reject or fail to reject the null hypothesis. 5.) Interpret the decision in the context of the original claim. a) Interpret the decision in the context of the original claim. And fill in the blanks There is is not enough evidence at the ___%__ level of significance to ____ the claim…
- The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie? 3.2442.48Grade point average μ=3.24 σ=0.17 x A normal curve labeled mu = 3.24 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.48 to 4 in increments of 0.38 and is centered on 3.24. (a) The minimum UGPA that would still place a student in the top 10% of UGPAs is nothing. (Round to two decimal places as needed.) (b) The middle 50% of UGPAs lies between nothing on the low end and nothing on the high end. (Round to two decimal places as needed.)The distribution of a large set of temperatures is approxi-mately Normal with a mean of 60° and a standard devia-tion of 5. Estimate the interquartile range for these data. A) 6.7° B) 7.5° C) 10.0°D) 13.4° E) 15.0°Question 11 Approximately what percentage of scores falls between -1 and +1 standard deviations around the mean under the normal curve? Group of answer choices A68% B34% C95% D14% Flag question: Question 12 What percentage of all scores fall above a z score of +1? Group of answer choices 50% 34% 16% 68% Flag question: Question 13 In a distribution with a mean of 30 and a standard deviation of 5, how many standard deviations is 60 from the mean? Group of answer choices 5 -6 0 6 Flag question: Question 14 When you flip a coin 10 times, how many possible combinations or outcomes could you have? Group of answer choices 22 210 102 1010 Flag question: Question 15 If you know the z score, standard deviation(s), and mean (M), what formula would you use to compute the raw score (X)? Group of answer choices M = z(s) + X X = (z + s) ÷ M z = (M – X) ÷ s X = z(s) + M Flag question: Question 16 What…
- Question 3 Suppose Andrew earns $45,000 EC per month. The average salary for everyone in Andrew’scompany is $41, 000 EC per month with a standard deviation of $7, 000 EC. Suppose Davidearns $38, 000 EC in his company, for which the average salary is $35,000 EC with a standarddeviation of $1,700 EC. Suppose the monthly salary in Andrew’s and David’s company followsa normal distribution, explain who is doing better in comparison to their coworkers and why?16. Table 1.6 A biologist measured the width(in mm) of the upper molar in 40 specimens(population) of a certain mammal. These results are given in the ff. fdt. Mean width(mm) frequency 5.5 3 5.8 10 6.1 15 6.4 8 6.7 3 7.0 1 Calculate the mean deviation(MD) and standard deviation(s) to the nearest hundredths. Choose the relationship which will describe the fdt in terms of variation. CHOICES A. The mean deviation is more variable than the standard deviation. B. The standard deviation is more variable than the mean deviation. C. None of the measures describes the variation. D. Equal variation.A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is 0.6 mile per hour. At 0.05, is there enough evidence to reject the claim? STEP 2. The critical value (s) is/are: z1 = z2 =