Question content area top Part 1 The following data are the amounts that a sample of 15 customers spent for lunch​ ($) a

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Question content area top
Part 1
The following data are the amounts that a sample of
15
customers spent for lunch​ ($) at a​ fast-foodrestaurant. Complete parts​ (a) through​ (d) below.
7.48
6.31
5.80
6.46
8.31
9.50
7.13
6.80
5.87
4.85
6.53
5.52
7.88
8.24
9.61
Question content area bottom
Part 1
a. Construct a
95​%
confidence interval estimate for the population mean amountspent for lunch​ ($) at a​ fast-food restaurant.
enter your response here≤μ≤enter your response here
​(Round to two decimal places as needed. Do not includethe​ $ symbol in your​ answer.)
Part 2
b. Interpret the interval constructed in​ (a). Choose thecorrect answer below.
A.The mean amounts in dollars spent for lunch atthe​ fast-food restaurant of
95​%
of all samples of the same size are contained in theinterval.
B.Conclude with
95​%
confidence that the mean amount in dollars spent for lunch atthe​ fast-food restaurant for the sample is contained in theinterval.
C.
95​%
of the sample data fall between the limits of this confidenceinterval.
D.Conclude with
95​%
confidence that the population mean amount in dollars spent forlunch at the​ fast-food restaurant is contained in theinterval.
Part 3
c. What assumption must you make about the populationdistribution in order to construct the confidence interval estimatein​ (a)?
A.
The population distribution is skewed right.
B.
The population distribution is skewed left.
C.
The population distribution is normally distributed.
D.
The population distribution is uniformly distributed.
Part 4
d. Do you think that the assumption needed in order to constructthe confidence interval estimate in​ (a) is​ valid?Explain.
The assumption is
▼
in serious doubt
reasonable
for
n=enter your response here
since
▼
an appropriate plot shows that the sample distribution isuniformly distributed.
the sample size is at least 30.
an appropriate plot shows that the sample distribution is notuniformly distributed.
the sample size is less than 30.
an appropriate plot shows that the sample distribution is highlyskewed.
an appropriate plot shows that the sample distribution is notextremely skewed.