Statistics Questions

K stion 16 5 4 4 OA 1 41 years 2 00 years OB 1 41 years 0 49 years OC 5 80 years 0 12 years OD 5 80 years 0 49 years O Points 0 of 1 C D Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5 80 years and a standard deviation of 2 00 years Random samples of size 17 are drawn from the population and the mean of each sample is determined Round the answers to the nearest hundredth Save

OA 158 00 3 57 OB 158 00 7 00 OC 158 00 25 00 OD 158 00 9 45 O Points 0 of 1 K The weights of people in a certain population are normally distributed with a mean of 158 lb and standard deviation of 25 lb Find the mean and standard error of the mean for this sampling distribution when using random samples of size 7 Round the answers to the neares hundredth EITB Save

4 Normal Probability Distribution Homew O Points 0 of 1 The distribution of room and board expenses per year at a four year college is normally distributed with a mean of 5850 and standard deviation of 1125 Random samples of size 20 are drawn from this population and the mean of each sample is determine following mean expenses would be considered unusual K Question 17 5 4 3 OA 6180 OB 5180 OC 6350 OD none of these ATTE

le 4 Normal Probability Distribution Homew K Question 9 5 4 41 O Points 0 of 1 About 70 of all female heart transplant patients will survive for at least 3 years Ninety female heart transplant patients are randomly selected What is the probability that the sample proportion surviving for at least 3 years will be less than 62 Assume the sampling of sample proportions is a normal distribution The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to ACCED The probability that the sample proportion surviving for at least 3 years will be less than 62 is Round to four decimal places as needed n

K Part 1 of 2 The population mean and standard deviation are given below Find the required probability and determine whether the given sample mean would be considered unusual For a sample of n 65 find the probability of a sample mean being greater than 220 if 219 and o 3 5 For a sample of n 65 the probability of a sample mean being greater than 220 if 219 and 3 5 is Round to four decimal places as needed FEED C Point

K Question 15 5 4 5 4 Normal Probability Distribution Homew Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution The monthly rents for studio apartments in a certain city have a mean of 950 and a standard deviation of 170 Random samples of size 50 are drawn from the population and the mean of each sample is determined Round the answers to the nearest hundredth OA 134 35 24 04 OB 950 00 3 40 OC 134 35 170 00 OD 950 00 24 04 O Points 0 of 1 COD

Normal Probability Distribution Homew Question 13 O Points 0 of 1 Assume that the heights of women are normally distributed with a mean of 63 6 inches and a standard deviation of 2 5 inches If 75 women are randomly selected find the probability that they have a mean height between 63 and 65 inches A 0 2119 OB 0 0188 OC 0 3071 OD 0 9811 EXER

K Determine whether the statement is true or false If it is false rewrite it as a true statement As the size of a sample increases the mean of the distribution of sample means increases Choose the correct answer below OA True OB False As the size of a sample increases the mean of the distribution of sample means decreases O C False As the size of a sample increases the mean of the distribution of sample means does not change

K What happens to the mean and standard deviation of the distribution of sample means as the size of the sample decreases A The mean of the sample means increases and the standard error stays constant B The mean of the sample means stays constant and the standard error increases OC The mean of the sample means decreases and the standard error increases D The mean of the sample means stays constant and the standard error decreases

K IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15 Find the x score that corresponds to a z score of 2 33 OA 142 35 OB 125 95 OC 139 55 OD 134 95

Normal Probability Distribution Homew Points 0 of 1 Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of 32 000 and a standard deviation of 3000 If 100 teachers are randomly selected find the probability that their mean salary is greater than 32 5C A 0 9525 OB 0 0475 OC 0 1312 OD 0 3312

K Assume that the random variable X is normally distributed with mean 60 and standard deviation o5 Compute the probability P X 64 0 7881 0 2119 O 0 1977

Question 4 of 5 4 Find the second quartile of the data set 2 4 6 2 3 5 4 8 6 10 6 4 Answer

2 The population mean and population variance was found to be 7 and 1 6 respectively What is the z score of the raw data value of 4 in the population Round your answer to the nearest hundredths Answer S 11

Question 9 of 10 9 A random sample of 380 individuals from a large population are categorized by two variables If the first variable has four different categories and the second variable has two different categories what is the critical value at the 0 05 level of significance when conducting a test of independence between the two variables Round your answer to the nearest thousandths Answer

The second quartile of a data set is also called the OP O median O midrange O second percentile

Non sampling error is O error that occurs in the collection recording or tabulation of data O chance error OZ P O the difference between a sample survey result and the corresponding census resul

Data set 1 has a mean of 47 and standard deviation of 15 Data set 2 has a mean of 20 and a standar deviation of 12 Determine which standard deviation represents greater variability on They are equal Oot able to be determined 01

The percentile rank of a value gives the percentage of observations in a data set that are O more important than that value O equal to that value Osmaller than that value Ogreater than that value

The measure of dispersion used to compare the relative variability of two data sets of different units in O absolute mean deviation O coefficient of variation O correlation coefficient

Find the indicated functional value for the ceiling function f 3 2

in statistics a population is defined as O all people living in a country O people living in one city only O a selection of a limited number of elements O all subjects or objects whose characteristics are being stud

Sampling error is O error due to a sample not being representative of the target population O the difference between a parameter and a statistic due to a human mistake O error due to making a typo when recording data O the difference between a sample survey result and the corresponding census result

A discrete variable is a variable that can assume O countable numbers only O categorical values only O any value over one or more intervals O non numerical values

Which of the following symbols represents a parameter Og 08 Os OF

O set of decisions made about the population O score collected from an element of the population O set of graphs and pictures O collection of observations on one or more variables

Chebyshev s Theorem can be applied to O any distribution O skewed distributions only O bell shaped normal distributions only O symmetric distributions only

A fact or numerical measure that is calculated using population data is called a O sampling error O statistic O standard deviation O parameter

Which of the following is not a measure of center O standard deviation O mode O mean O median

A quantitative variable is a variable that O is measured numerically O is measured using whole numbers only O is categorical in nature O contains only decimals and fractions

The data below give the ages of a sample of 13 IRSC students Calculate the first second and third quarties of the data set Also determine the interquartile range The first quartile for these data is 018 O 39 5 0 28 5 0 34 5 37 39 19 23 The second quartile for these data is 028 0 17 5 0 37 5 023 The third quartile for these data is 34 023 0 35 5 039 3 The interquartile range for these data is 17 5 O 12 3 0155 34 32 28 28 17 17 29 17 39

If a distribution is right skewed then O the median will usually be greater than the mean O the median and mean will be approximately equal O the mean will usually be greater than the median O the shape of the distribution will be uniform

All of the following are examples of a discrete random variable except O car tire pressure psi O college class size O number of daily visitors at a theme park O household size

The following table gives the frequency distribution of the opinions of a sample of people in regard to their support of a political candidate O 42 9 20 O 37 1 O26 1 Opinion In favor Against No Opinion The percentage of people who are of no opinion regarding the political candidate is The relative frequency of the against category is O discrete O quantitative O continuous Dovalitative O 0 577 0 0 371 O 0 429 00 2 The variable support of a political candidate is considered f 14 30 26

Which of the following symbols represents a sample statistic OF OP

81 81 97 82 49 O 79 07 81 What is the mean of this data set 076 34 O 74 55 What is the mode of this data set 088 090 081 062 res for 13 students in a very large calculus class 88 What is the variance of this data set O 166 2657 149 4952 0139 5289 O 165 586 What is the range of this data set 028 98 62 68 62 67 81 62 What is the standard deviation of this data set O 12 2268 011 8122 O 12 8944 O 12 868 86 90

The second quartile of a data set is also called the O median Omidrange OP O second percentile

The observation of a data set with the greatest frequency is the O standard deviation O mean O median O mode

Data were collected regarding the size weight of native bird eggs for a sample collected in Okeechobe County The weight of each bird egg was recorded in grams The data are summarized in the table bet Egg Weight grams 160 164 165 169 170 174 175 179 180 184 185 189 190 194 Frequency 77 44 64 69 65 28 36 What is the class boundary between the third and fourth classes O 184 5 O 174 5 O 169 5 O 159 5 What is the lower limit of the third class 0170 O 180 185 O 175 What is the midpoint of the third class O 182 0172 O 167 0177 What is the size of this data set 378 390 0 383

The Empirical Rule can only be applied to distributions that are Oright skewed O bell shaped normal O symmetric sikered

An observation is a O sample observed from the population O graph observed for a data set Otable prepared for a data set O value of a variable for a single element

A distribution curve that is right skewed has O a longer tail on the right side O a longer tail on the left side O both tails of the same length O a shorter tail on the right side

A fact or numerical measure that is calculated using sample data is called a O mean O empirical measure O parameter O statistic

Which of the following is a quantitative variable O gender O time spent playing video games O city of residence O favorite type of video game

Which of the following is not a measure of center O median O coefficient of variation O mode O mean

A continuous variable is a variable can assume O any value over one or more intervals O whole numbers only O discrete values only O categorical values only

on sampling error is CEIP O the difference between a sample survey result and the corresponding census resul O chance error O error that occurs in the collection recording or tabulation of data

For which measure of center must the data be ranked O range O mean O median O mode

Suppose the maximum and minimum values are removed from a data set The value of the median O will increase O remains unchanged O will be equal to the mean O will decrease

nich of the following characteristics does a box and whisker plot not show O center of the data O mode of the data O skew of the data O spread of the data