Construct the indicated confidence interval for the population mean mu using the

Question

Construct the indicated confidence interval for the population mean mu using the t-distribution.

c=0.99, x overbar=13.1, s=3.0, n=7

The 99% confidence interval using a t-distribution is (___,___) (Round to one decimal place as needed.)

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.

A company claims that its brands of paint have a mean drying time of more than 60 minutes.

Write the claim as a mathematical statement.

A.60

B.<60

C.60

D.=6060

E.60

F.>60

Choose the correct null and alternative hypotheses below.

A.H0:60 Ha:>60

B.H0:60 Ha:=60

C.H0:=60 Ha:60

D.H0:>60 Ha:60

E.H0:<60 Ha: 60

F.H0:60 Ha:<60

Identify which is the claim.

A.The null hypothesis H0:60 is the claim

B.The null hypothesis H0: 60 is the claim.

C.The alternative hypothesis Ha: 60 is the claim

D.The null hypothesis H0: =60 is the claim

E.The alternative hypothesis Ha: >60 is the claim.

F. The alternative hypothesis Ha: <60 is the claim

Explanation / Answer

Q1.
Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=13.1
Standard deviation( sd )=3
Sample Size(n)=7
Confidence Interval = [ 13.1 ± t a/2 ( 3/ Sqrt ( 7) ) ]
= [ 13.1 - 3.707 * (1.134) , 13.1 + 3.707 * (1.134) ]
= [ 8.897,17.303 ]

Q2.
null, Ho: <=60
alternate, H1: >60
E.The alternative hypothesis Ha: >60 is the claim.

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.