Which statement explains the equation (6 × 3) 2 = 6(3 × 2)?

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

They score is below 24 on the math portion of the exam

6 0

3 years ago

32(4x – 1) – 3x = 54 – (x + 2)

Blababa [14]

Answer:

Step-by-step explanation:

x = 2/3= 0.667

7 0

4 years ago

Read 2 more answers

"given a population in which the probability of success is p = 0.20, if a sample of 500 items is taken, then calculate the proba

Rufina [12.5K]

Binomial conditionsfixed number of trials
each trial must be either a success or a fail
trails must be independent
the value of P must remain constantBinomial E(X)npBinomial Var(X)np(1-p)Poisson conditionsevents must be independent
events must occur singly in space or time
event must occur at a constant ratepoisson E(X)£Var(X)£binomial to normaln is large
p is close to 0.5
N(np,np(1-p)
np>10binomial to poissonn is large
p is small
Po(np)
np<10poisson to normaln is large
N(£,£)populationa collection of itemscensusinformation obtained from every member of a populationsamplea selection of indvidual members from a populationpopulation parameterany characteristic of a population which is measurablefinite populationa population in whihc every individual member can be given a numberinfinite populationa population which is impossible to give a number to every individualadvantage censusevery single member of a population is used, unbiased, gives an accurate answerdisadvantage censustime consuming, costly, difficult to ensure that the whole population is surveyeddisadvantage samplenatural variation
biasadvantage samplesample is representative
cheaper
data more readily avaliblepoissonevents occur randomly
singly in space or time
independently of each other
constant ratebinomialfixed number of trials
each trail either a success or failure
trails independent
probability of success constantsignificance levelprobability of incorrectly rejecting the null hypothesisstatisticrandom variable quantity calculated soley from observations in a sample does not involve any unknown parameters numerical property of a samplesampling distributionall possible values of a test statistic and their probabilitiessampling framea list of all the sampling units within a populationsampling unitsthe individual units of a populationsample surveyan investigation using a samplerandom samplingevery possible sample of size n has an equal chance of being selectedhypothesisa statement made about the value of a population parameternull hypothesishypothesis that is assumed to be correcttest statistica form of a statistic in which the evidence from a sample in a hypothesis test is summarisedcritical valuesthe values on the boundaries

4 0

4 years ago

What’s the Missing Side? PLEASEE HELPP

frez [133]

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

6 0

3 years ago

Quantitative Problem 2: Today, you invest a lump sum amount in an equity fund that provides an 10% annual return. You would like

Julli [10]

Answer:

$6,322.11

Step-by-step explanation:

The future value of a lump sum (S) invested today at an interest rate 'r' for a period of 'n' years, if interest is compounded annually is:

$FV = S*(1+r)^n$

In order to obtain $11,200 after 6 years, the required investment at a 10% rate per year is:

$11,200 = S*(1+0.10)^6\\S=\$6,322.11$

You need to deposit $6,322.11 today in order to reach your goal in 6 years.

3 0

4 years ago