Question

In: Math

Here are summary statistics for randomly selected weights of newborn​ girls: n=187​, x =30.8 ​hg, s=7.9...

Here are summary statistics for randomly selected weights of newborn​ girls: n=187​, x =30.8 ​hg, s=7.9 hg. Construct a confidence interval estimate of the mean. Use a 90​% confidence level. Are these results very different from the confidence interval 29.0 hg-mu-t32.4 hg with only 14 sample​ values, x=30.7 ​hg, and s=3.6 ​hg

Solutions

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 30.8 hg

sample standard deviation = s = 7.9 hg

sample size = n = 187

Degrees of freedom = df = n - 1 = 187 - 1 = 186

At 90% confidence level

= 1 - 90%

=1 - 0.90 =0.10

/2 = 0.05

t/2,df = t0.05, 186 = 1.653

Margin of error = E = t/2,df * (s /n)

= 1.653 * ( 7.9/ 187)

Margin of error = E = 1.0

The 90% confidence interval estimate of the population mean is,

- E < < + E

30.8 - 1.0 < < 30.8 + 1.0

(29.8 < < 31.8)


Related Solutions

Here are summary statistics for randomly selected weights of newborn​ girls: n=161​, x=28.1 ​hg, s=7.8 hg....
Here are summary statistics for randomly selected weights of newborn​ girls: n=161​, x=28.1 ​hg, s=7.8 hg. Construct a confidence interval estimate of the mean. Use a 95​% confidence level. Are these results very different from the confidence interval 25.9 hg<μ<29.5 hg with only 15 sample​ values, x=27.7 ​hg, and s=3.3 ​hg?What is the confidence interval for the population mean μ​? nothing hg<μ<nothing hg ​(Round to one decimal place as​ needed.) Are the results between the two confidence intervals very​ different?...
Here are summary statistics for randomly selected weights of newborn girls: n = 192, X=26.5 hg,...
Here are summary statistics for randomly selected weights of newborn girls: n = 192, X=26.5 hg, S= 7.1 Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 24.4 hg < U < 28.0 hg with only 19 sample values, X= 26.2 hg, and S= 2.7 Hg? What is the confidence interval for the population mean ? ? ___hg < U< ___ hg
Here are summary statistics for randomly selected weights of newborn​ girls: n=210​, x =26.9 ​hg, s=6.1...
Here are summary statistics for randomly selected weights of newborn​ girls: n=210​, x =26.9 ​hg, s=6.1 hg. Construct a confidence interval estimate of the mean. Use a 90​% confidence level. Are these results very different from the confidence interval 25.8 hg <ul <27.4 hg with only 16 sample​ values, x =26.6 ​hg, and s =1.9 ​hg?
Here are summary statistics for randomly selected weights of newborn​ girls: n=246​, x overbar =30.4​hg, s=6.1hg....
Here are summary statistics for randomly selected weights of newborn​ girls: n=246​, x overbar =30.4​hg, s=6.1hg. Construct a confidence interval estimate of the mean. Use a 98​% confidence level. Are these results very different from the confidence interval 28.9 hg<μ<31.3hg with only16 sample​ values, x overbar=30.1​hg, and s=1.8​hg?
5) Here are summary statistics for randomly selected weights of newborn girls: n=197, x=32.7hg, s=6.7 hg....
5) Here are summary statistics for randomly selected weights of newborn girls: n=197, x=32.7hg, s=6.7 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 31.6 hg< μ < 34.8 hg with only 12 sample values, x=33.2 hg, and s=2.5 hg? What is the confidence interval for the population mean μ? 3) The brand manager for a brand of toothpaste must plan a campaign designed to increase...
Here are summary statistics for randomly selected weights of newborn​ girls: n=181, x overbar=28.7 ​hg, s=7.1...
Here are summary statistics for randomly selected weights of newborn​ girls: n=181, x overbar=28.7 ​hg, s=7.1 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 27.1hg<μ <29.5 hg with only 17 sample​ values, x overbar=28.3 ​hg, and =2.8 ​hg? What is the confidence interval for the population mean μ​? __ hg <μ<___ hg ​(Round to one decimal place as​ needed.)
1. Here are summary statistics for randomly selected weights of newborn girls: n=159, x=28.8 hg, s=7.7...
1. Here are summary statistics for randomly selected weights of newborn girls: n=159, x=28.8 hg, s=7.7 hg.Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 26.6 hg<u<32.0 hg with only 13 sample values, x=29m3 hg, and s= 3.6 hg? What is the confidence interval for the population mean u? __ hg<u<___ hg 2. A data set includes 109 body temperatures of healthy adult humans having a mean...
Here are the summary statistics for randomly selected weights of newborn girls: n=237, mean=33.8 hg, and...
Here are the summary statistics for randomly selected weights of newborn girls: n=237, mean=33.8 hg, and s=6.2 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level
Q7. Here are summary statistics for randomly selected weights of newborn​ girls: n=210​, x overbarx=28.9 ​hg,...
Q7. Here are summary statistics for randomly selected weights of newborn​ girls: n=210​, x overbarx=28.9 ​hg, s=6.3hg. Construct a confidence interval estimate of the mean. Use a 99​% confidence level. Are these results very different from the confidence interval 27.0 hgless than What is the confidence interval for the population mean muμ​? ____hgless than
Here are summary statistics for randomly selected weights of newborn​ girls: nequals180​, x overbarequals30.8 ​hg, sequals7.5...
Here are summary statistics for randomly selected weights of newborn​ girls: nequals180​, x overbarequals30.8 ​hg, sequals7.5 hg. Construct a confidence interval estimate of the mean. Use a 95​% confidence level. Are these results very different from the confidence interval 29.7 hgless thanmuless than32.9 hg with only 17 sample​ values, x overbarequals31.3 ​hg, and sequals3.1 ​hg?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT