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Examen

QMB 3200 Final Exam.docx

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2024/2025

Doubling t the t size t of t the t sample t will t - t correct t answer t reduce t the t standard t error t of t the t mean The t sample t mean t is t the t point t estimator t of t - t correct t answer t U A t simple t random t sample t of t size t n t from t an t infinite t population t of t size t N t is t to t be t selected. t Each t possible t sample t should t have t - t correct t answer t the t same t probability t of t being t selected Which t of t the t following t statements t regarding t the t sampling t distribution t of t sample t means t is t incorrect? t - t correct t answer t The t standard t deviation t of t the t sampling t distribution t is t the t standard t deviation t of t the t population. A t simple t random t sample t of t size t n t from t an t infinite t population t is t a t sample t selected t such t that t - t correct t answer t each t element t is t selected t independently t and t is t selected t from t the t same t population The t fact t that t the t sampling t distribution t of t sample t means t can t be t approximated t by t a t normal t probability t distribution t whenever t the t sample t size t becomes t large t is t based t on t the t - t correct t answer t central t limit t theorem. Cluster t sampling t is t - t correct t answer t a t probability t sampling t method. The t central t limit t theorem t states t that t - t correct t answer t if t the t sample t size t n t is t large, t then t the t sampling t distribution t of t the t sample t mean t can t be t approximated t by t a t normal t distribution. The t value t of t the t _____ t is t used t to t estimate t the t value t of t the t population t parameter t - t correct t answer t sample t statistic The t sampling t distribution t of t is t the t - t correct t answer t probability t distribution t of t all t possible t values t of t the t sample t proportion. Which t of t the t following t is t not t a t symbol t for t a t parameter? t - t correct t answer t S. The t sample t statistic t characteristic t s t is t the t point t estimator t of t - t correct t answer t σ.. The t distribution t of t values t taken t by t a t statistic t in t all t possible t samples t of t the t same t size t from t the t same t population t is t called t a t - t correct t answer t sampling t distribution. Which t of t the t following t is t a t point t estimator? t - t correct t answer t S. As t a t rule t of t thumb, t the t sampling t distribution t of t the t sample t proportion t can t be t approximated t by t a t normal t probability t distribution t when t - t correct t answer t n(1 t - t p) t ≥ t 5 t and t np t ≥ t 5. A t sample t of t 92 t observations t is t taken t from t an t infinite t population. t The t sampling t distribution t of t is t approximately t - t correct t answer t normal t because t of t the t central t limit t theorem. The t central t limit t theorem t is t important t in t Statistics t because t it t enables t reasonably t accurate t probabilities t to t be t determined t for t events t involving t the t sample t average t - t correct t answer t when t the t sample t size t is t large t regardless t of t the t distribution t of t the t variable. The t distribution t of t values t taken t by t a t statistic t in t all t possible t samples t of t the t same t size t from t the t same t population t is t the t sampling t distribution t of t - t correct t answer t The t sample Which t of t these t best t describes t a t sampling t distribution t of t a t statistic? t - t correct t answer t It t is t the t distribution t of t all t of t the t statistics t calculated t from t all t possible t samples t of t the t same t sample t size. The t probability t distribution t of t all t possible t values t of t the t sample t proportion t is t the t - t correct t answer t sampling t distribution t of t p. For t a t fixed t confidence t level t and t population t standard t deviation, t if t we t would t like t to t cut t our t margin t of t error t in t half, t we t should t take t a t sample t size t that t is t - t correct t answer t four t times t as t large t as t the t original t sample t size. We t can t reduce t the t margin t of t error t in t an t interval t estimate t of t p t by t doing t any t of t the t following t except t - t correct t answer t increasing t the t planning t value t p* t to t .5. When t computing t the t sample t size t needed t to t estimate t a t proportion t within t a t given t margin t of t error t for t a t specific t confidence t level, t what t planning t value t of t p t should t be t used t when t no t estimate t of t p t is t available? t - t correct t answer t 0.50 A t statistics t teacher t started t class t one t day t by t drawing t the t names t of t 10 t students t out t of t a t hat t and t asked t them t to t do t as t many t pushups t as t they t could. t The t 10 t randomly t selected t students t averaged t 15 t pushups t per t person t with t a t standard t deviation t of t 9 t pushups. t Suppose t the t distribution t of t the t population t of t number t of t pushups t that t can t be t done t is t approximately t normal. t Which t of t the t following t statements t is t true? t - t correct t answer t A t t t distribution t should t be t used t because t σ t is t unknown.

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Subido en
27 de diciembre de 2024
Número de páginas
21
Escrito en
2024/2025
Tipo
Examen
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QMB 3200 FINAL EXAM 2024/2025 WITH 100%
CORRECT ANSWERS




Doubling the size of the sample will - correct answer reduce the standard error of the mean
t t t t t t t t t t t t t t t t




The sample mean is the point estimator of - correct answer U
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A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample
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should have - correct answer the same probability of being selected
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Which of the following statements regarding the sampling distribution of sample means is incorrect? - correct
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answer The standard deviation of the sampling distribution is the standard deviation of the population.
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A simple random sample of size n from an infinite population is a sample selected such that - correct answer
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each element is selected independently and is selected from the same population
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The fact that the sampling distribution of sample means can be approximated by a normal probability
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distribution whenever the sample size becomes large is based on the - correct answer central limit theorem.
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,Cluster sampling is - correct answer a probability sampling method.
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The central limit theorem states that - correct answer if the sample size n is large, then the sampling distribution
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of the sample mean can be approximated by a normal distribution.
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The value of the _____ is used to estimate the value of the population parameter - correct answer sample
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statistic



The sampling distribution of is the - correct answer probability distribution of all possible values of the sample
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proportion.



Which of the following is not a symbol for a parameter? - correct answer S.
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The sample statistic characteristic s is the point estimator of - correct answer σ..
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The distribution of values taken by a statistic in all possible samples of the same size from the same population
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is called a - correct answer sampling distribution.
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Which of the following is a point estimator? - correct answer S.
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As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal
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probability distribution when - correct answer n(1 - p) ≥ 5 and np ≥ 5. t t t t t t t t t t t t t t




A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately
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- correct answer normal because of the central limit theorem.
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The central limit theorem is important in Statistics because it enables reasonably accurate probabilities to be
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determined for events involving the sample average - correct answer when the sample size is large regardless
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of the distribution of the variable.
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, The distribution of values taken by a statistic in all possible samples of the same size from the same population
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is the sampling distribution of - correct answer The sample
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Which of these best describes a sampling distribution of a statistic? - correct answer It is the distribution of all of
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the statistics calculated from all possible samples of the same sample size.
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The probability distribution of all possible values of the sample proportion is the - correct answer sampling
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distribution of p. t t




For a fixed confidence level and population standard deviation, if we would like to cut our margin of error in half,
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we should take a sample size that is - correct answer four times as large as the original sample size.
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We can reduce the margin of error in an interval estimate of p by doing any of the following except - correct
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answer increasing the planning value p* to .5. t t t t t t t




When computing the sample size needed to estimate a proportion within a given margin of error for a specific
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confidence level, what planning value of p should be used when no estimate of p is available? - correct answer
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0.50



A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do
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as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a
t t t t t t t t t t t t t t t t t t




standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be
t t t t t t t t t t t t t t t t t t




done is approximately normal. Which of the following statements is true? - correct answer A t distribution
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should be used because σ is unknown. t t t t t t




The z value for a 99% confidence interval estimation is - correct answer 2.58
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In an interval estimation for a proportion of a population, the critical value of z at 99% confidence is - correct
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answer 2.576. t




In interval estimation, as the sample size becomes larger, the interval estimate - correct answer becomes
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narrower.In general, higher confidence levels provide larger confidence intervals. t t t t t t t t
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