Statistics Questions and Answers

For 3 9 The mean weight of adult American men is 180 pounds with standard deviation of 25 pounds The weights are approximately normally distributed Use the 68 95 99 7 Rule to approximate each of the following 3 Using the values given above label the normal curve at the right with the numerical values for u a 20 and 30 4 What percent of all adult American men have a weight less than 130 pounds 5 What percent of all adult American men have a weight between 130 and 205 pounds 6 What percent of all adult American men have a weight less than 230 pounds 7 What percent of all adult American men have a weight less than 105 pounds 8 The heaviest 16 of all men in weight weigh more than how many pounds 9 What weight separates the lowest 2 5 of all American men in weight from the remaining weights

For 26 28 Find the value of z from the standard normal distribution that satisfies each of following conditions Use the value of z from Table A that comes closest to satisfying the condition 26 Area is 0 0630 N z 27 z N Area is 0 2981 28 Z Z z Area is 0 5035

For 10 17 Elephants have the longest pregnancy of all mammals One species of elephant has a mean gestation period of 525 days and standard deviation of 32 days Pregnancy length follows an approximately normally distribution Use the 68 95 99 7 Rule to approximate each of the following 10 Using the values given above label the normal curve at the right with the numerical values for o 20 and 30 11 The longest 16 of all elephant pregnancies last at least how many days 12 The middle 68 of all elephant pregnancies last between and days 13 Only 2 5 of all elephant pregnancies last longer than days 14 What percent of elephant pregnancies last less than 461 days 15 What percent of elephant pregnancies last between 525 and 557 days 16 What percent of elephant pregnancies last between 493 and 589 days 17 What percent of elephant pregnancies last less than 557 days

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RULE INTERPRETING Z SCORES 1 If a person has a negative z score did the person score higher or lower than the mean 2 If a person has a negative z score it does not always mean that the person did not do well Name a sport where having the lowest z score would be the most desirabla At Name

Let H be the set of polynomials a Give two different examples of polynomials in H example 1 p x example 2 g x b Give two different examples of polynomials from P3 which are not in H example 1 p x example 2 g x c Complete the following statements to determine if H is a subspace of P3 0 in H q x H p P3 P 2 0 His under vector addition If it is not closed enter two polynomials p q E H below whose sum is not in H If it is closed then leave the following spaces blank p x His under scalar multiplication If it is not closed enter a scalar k and polynomial r H below whose product is not in H If it is closed then leave the following spaces blank k and r x

Three forces are acting on a modern streetlamp at points A B and C a Express the three forces acting at points A B and C as Cartesian force vectors in Sl units b Compute the resultant force vector written as a Cartesian force vector c Compute the magnitude of the resultant force vector you found in part d d Convert your answer in part d to the US customary system of units FPS 8 m 2 1 2 4 m 2 4 m A y 45 650 N 2 4 m 8 kN B 12 kN

A researcher wants to know how registered voters in her state feel about health care She obtains a list of 2152 registered voters in her state selects 700 of them at random and emails a questionnaire to them 149 questionnaires are returned Of these 73 stated that they believe that the current health care program needs to be completely overhauled Classify the following groups a the population or the sample for this particular study If a group does not belong in either category leave it unplaced Population the 149 registered voters who returned the questionnaire the 73 who stated that the current health care program needs to be completely overhauled Answer Bank the 700 registered voters who were randomly chosen all registered voters in the researcher s state 21 the proportion of all registered voters in the researcher s state who believe that the current health care program needs to be completely overhauled Sample the 2152 registered voters whose names were obtained all registered voters

Homework Sample Up

Homewor Sample Question li

ind the sample standard deviation rounding to one decimal plac 0 7 8 11 20 20 6 19 7 23 OA 6 2 OB 1 5 OC 6 1 C D 6 6

The stem and leaf display below gives the amounts of money to answer the questions that follow Amount spent at the amusement park dollars 180

ind the z score for the value 71 when the mean is 84 and the standard deviation is 2 rounding to two decimal pla O A z 0 82 OB Z 6 50 OC z 0 82 D Z 7 00 C

Martina repairs 5 types of electronic devices in her repair shop The number of bar graph answer the questions Number of Repairs 12 10 8 6 4 2 Telephone Computer Radio Type of Device Television CD player

The citizens of a city were asked to choose their favorit question how many chose Cat

Given the following five number summary find the IQR 2 9 5 7 10 0 13 2 21 1 OA 18 2 OB 7 5 O C 7 1 O D 11 1