A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased from a nation

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A bottled water distributor wants to estimate the amount ofwater contained in 1​-gallon bottles purchased from a nationallyknown water bottling company. The water bottling​ company'sspecifications state that the standard deviation of the amount ofwater is equal to 0.03 gallon. A random sample of 50 bottles is​selected, and the sample mean amount of water per 1​-gallon bottleis 0.948 gallon. Complete parts​ (a) through​ (d).
Question content area bottom Part 1 a. Construct a 99​%confidence interval estimate for the population mean amount ofwater included in a​ 1-gallon bottle. enter your responsehere≤μ≤enter your response here ​(Round to five decimal places as​needed.)
Part 2 b. On the basis of these​ results, do you think that thedistributor has a right to complain to the water bottling​ company?Why? ▼ No, Yes, because a​ 1-gallon bottle containing exactly​1-gallon of water lies ▼ outside within the 99​% confidenceinterval.
Part 3 c. Must you assume that the population amount of waterper bottle is normally distributed​ here? Explain. A. ​Yes, sincenothing is known about the distribution of the​ population, it mustbe assumed that the population is normally distributed. B. ​Yes,because the Central Limit Theorem almost always ensures that X isnormally distributed when n is large. In this​ case, the value of nis small. C. ​No, because the Central Limit Theorem almost alwaysensures that X is normally distributed when n is large. In this​case, the value of n is large. D. ​No, because the Central LimitTheorem almost always ensures that X is normally distributed when nis small. In this​ case, the value of n is small.
Part 4 d. Construct a 90​% confidence interval estimate. Howdoes this change your answer to part​ (b)? enter your responsehere≤μ≤enter your response here ​(Round to five decimals)
question number 2
In a studyof 426 nonprofits​ nationwide, 82 indicatedthat turnover has been the biggest employment challenge at theirorganization. Complete parts​ (a) through​ (c).
95​%
enter your response here≤π≤enter your response here
​(Type integers or decimals. Round to three decimal placesas​ needed.)
Interpret the interval constructed in part​ (a).
Choose the correct answer below.
A.With
5​%
​confidence, the proportion of nonprofits that indicate turnoveras the biggest employment challenge at their organization in thesample is in this interval.
B.With
95​%
​confidence, the proportion of nonprofits that indicate turnoveras the biggest employment challenge at their organization in thesample is in this interval.
C.With
95​%
​confidence, the proportion of nonprofits that indicate turnoveras the biggest employment challenge at their organization in thepopulation is in this interval.
D.With
5​%
​confidence, the proportion of nonprofits that indicate turnoveras the biggest employment challenge at their organization in thepopulation is in this interval.
Part 3
c.
±0.04
95%
​confidence, how many nonprofits would you​ survey?
sample of
enter your response here
nonprofits should be surveyed. ​(Round up to thenearest​ integer.)