The number of steps to cover the same distance was measured for 31 randomly chosen people. The sample mean is I = 1440 stepsand the sample standard deviation is s = 288 steps. Assume distribution to be normal.Round your answers to the nearest integer (e.g. 9876).a) Construct a 95% two-sided confidence interval on the mean.iib) Construct a 95% lower confidence bound on the mean.ic) Construct a 95% upper confidence bound on the mean.i

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Find the number of women.
If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the trees are above 82 cm? Select one: a. 0.3% O b. 82 O c. 3% O d. 0.15% Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15. Approximately, what percent of the students scored above 100? Answer: o represents the
This looks like another problem. Read carefully. Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent. If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 28 and the age of the winner for best actress was 44. For all best actors, the mean age is 42.3 years and the standard deviation is 8.4 years. For all best actresses, the mean age is 33.3 years and the standard deviation is 10.7 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = and the z score for the actress is z=, the had the more extreme age. (Round to two decimal places.)
A basketball player makes 56 free throws in a season. The average number of free throws made in the league is 52, and the standard deviation is 4. A softball player makes 42 hits in a season. The average number of hits mase in the league is 38, and the standard deviation is 6. Calculate Z-scores for the two and compare them. Which one is better at their sport?
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The weights for newborn babies is approx normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. use the cumulative Z-score table to answer the following questions. Write your answers rounded to the nearest whole number. consider a group of 1700 newborn babies: How many would you expect to weigh between 7.36 and 8.62 pounds? How many would you expect to weigh less than 3.76 pounds? How many would you expect to weight more than 5.65 pounds? How many would you expect to weight between 6.1 and 7 pounds?
A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.
To celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?
You are interested in whether or not two different measures of child behaviour are different. The measurement tools both require the child teacher to fillout a question about the child, you give both questionares to Avery teacher and obtain two scores. On the CBCL, Avery score is is 68.On the BASC, Avery score is 32. The CBCL has a mean of 100 and a stardard deviation of 15. The BASC has a mean of 50 and a standard deviation of 10. (a) what is Avery z score on CBCL (b) What is Avery z score on BASC (c) On which test is Avery score lower relative to the population (CBCL/BASC) (d) The cutoff score for clinical diagnosis for both tests of -2 on either test are considerd clinically signifcantly concern. Do these tests give the same resultling diagnosis ? (yesy/no)

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