Question

Q30. YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 36 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 3 minutes.

a. The​ p-value for this hypothesis test would be​ _______.

A.

0.9192

B.

0.5910

C.

0.0808

D.

0.4090

b. If YouTube uses an

alphaαequals=0.05

in hypothesis​ tests, the conclusion​ is:

A.

Fail to Reject the Null hypothesis

B.

Reject the Null hypothesis

c. If YouTube uses an

alphaαequals=0.10

in hypothesis​ tests, the conclusion​ is:

A.

Reject the Null hypothesis

B.

Fail to Reject the Null hypothesis

Q31.

During the

2007dash–2008

decline in the housing​ market, it appeared that the average size of a newly constructed house fell. To investigate this​ trend, the square footages of a random sample of houses built in 2008 were compared to houses built in 2018.

a. Perform a hypothesis test to determine if the average home constructed in 2008 was larger than a home built in 2018. Let the 2008 houses be designated as Population 1 and the 2018 houses be designated as Population 2.

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0H0​:mu 1μ1minus−mu 2μ2less than or equals≤0

Upper H 1H1​:mu 1μ1minus−mu 2μ2greater than>0

B.

Upper H 0H0​:mu 1μ1minus−mu 2μ2greater than or equals≥0

Upper H 1H1​:mu 1μ1minus−mu 2μ2less than<0

C.

Upper H 0H0​:mu 1μ1minus−mu 2μ2not equals≠0

Upper H 1H1​:mu 1μ1minus−mu 2μ2equals=0

D.

Upper H 0H0​:mu 1μ1minus−mu 2μ2equals=0

Upper H 1H1​:mu 1μ1minus−mu 2μ2not equals≠0

b. Is this comparison of two samples of houses​ (2008 and​ 2018) dealing with 2 independent samples or dependent​ matched-pair samples? Choose the correct answer.

A.

Independent samples

B.

Dependent​ Matched-Pair samples

Answer 1

Q30)

H0: <= 8

Ha: > 8

Test statistics

z = ( - ) / ( / sqrt(n) )

= ( 8.7 - 8) / ( 3 / sqrt(36) )

= 1.4

p-value = P(Z > z)

= P(Z > 1.4)

= 0.0808

If = 0.05

Since p-value > 0.05 , Fail to reject the null hypothesis

If = 0.10

Since p-value < 0.10 , reject the null hypothesis