MATHEMATICS HIGH SCHOOL

Which of the following statements is true? a) A 95% confidence interval is narrower than a 90% confidence interval for the same set of data. b) Increasing the sample size will decrease the margin of error in your confidence interval. c) The critical value is the variance of the sampling distribution. d) The point estimate is the measure of variation used in the computation of the margin of error. e) Smaller sample sizes produce larger margins of error because smaller samples always have larger standard deviations.

Answers

Answer 1

Answer:

Answer:

The correct option is;

Step-by-step explanation:

a) 95% Sample CI = 152.6395 to 153.3605; Range = 0.721 Wider

90% Sample CI = 152.6975 to 153.3025; Range= 0.605 Narrower

b) Sample size ∝ 1/Error²

Therefore, increasing the sample will decrease the margin of error

c) The critical value is the value of the test statistic at the level of confidence

Variance = (Standard deviation)²

d) Point estimate is the mean or average, variation is the range or also the variance

e) Smaller samples have their relative standard deviations which does not depend on the sample size

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Answers

Answer:

Step-by-step explanation:

So more than 3 people.

Families with 4 =245

Families with 5=125

Families with 6=66

Families with 7=10

Families with 8=4

Add up (this will be our numerator)

Add up all the frequency numbers to get your denominator.

So the answer is =450/1000=45/100=45%

You go to the movies on Tuesday and pay 15 dollars for 3 people. How much did you pay for each person?A 3
B 45
C 5
D 7.50
E IDK

Answers

Step-by-step explanation:

Amount payed = 15 dollars

No of persons = 3

Amount of 1 person = 15 ÷ 3 = 5

Option C is the correct answer

Answer:you will pay 5 dollars to each person.answer-C.5

Step-by-step explanation:

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?
5x + 8y = 775 and x + y =125
5x – 8y = 125 and x + y = 775
5x + 8y = 775 and x – y = 125
5x – 8y = 125 and x – y = 775

Answers

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.

Given:
quick washes = x ; $5
premium washes = y ; $8

x + y = 125
5x + 8y = 775

Correct answer is the 1st option.

x = 125 - y
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
3y = 775 - 625
3y = 150
y = 150/3
y = 50 number of premium washes

x = 125 - 50
x = 75 number of quick washes

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