Question

The display provided from technology available below results from using data for a smartphone​ carrier's data speeds at airports to test the claim that they are from a population having a mean less than

4.00

Mbps. Conduct the hypothesis test using these results. Use a

0.05

significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

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Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?

A.

Upper H 0

​:

mu

less than4.00

Mbps

Upper H 1

​:

mu

equals4.00

Mbps

B.

Upper H 0

​:

mu

equals4.00

Mbps

Upper H 1

​:

mu

less than4.00

Mbps

C.

Upper H 0

​:

mu

equals4.00

Mbps

Upper H 1

​:

mu

not equals4.00

Mbps

D.

Upper H 0

​:

mu

equals4.00

Mbps

Upper H 1

​:

mu

greater than4.00

Mbps

Identify the test statistic.

nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.

nothing

​(Round to three decimal places as​ needed.)

State the final conclusion that addresses the original claim.

▼

Fail to reject

Reject

Upper H 0

.

There is

▼

sufficient

not sufficient

evidence to support the claim that the sample is from a population with a mean less than

4.00

Mbps.                                                     

mu less than4.00  

t=negative 1.927763  

p=0.030177  

x overbar=3.49  

Sx=1.774691  

n=45

Answer 1

Solution:

a) The null and alternative hypotheses are:

b) The value of the test statistic is:

c) The p-value is:

State the final conclusion that addresses the original claim.

Answer: Reject H0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 4.00 Mbps.