The mean weight of 15 randomly selected newborn babies at a local hospital is 7.22 Ibs and the standard deviation is 0.2 lbs. Assume the weight of newborn babies has approximately normal distribution. (a) Find the margin of error for the 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) (b) Use information from part (a) to fill in the banks in the following sentence: % of all samples of size have sample means within Ibs

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For a confidence level of 80% with a sample size of 19, find the critical t value. 

Question 1
>
The mean weight of 15 randomly selected newborn babies at a local hospital is 7.22 Ibs and the
standard deviation is 0.2 lbs. Assume the weight of newborn babies has approximately normal
distribution.
(a) Find the margin of error for the 95% confidence interval for the mean weight of all newborn
babies at this hospital. (Round your answer to two decimal places.)
(b) Use information from part (a) to fill in the banks in the following sentence:
% of all samples of size
have sample means within
Ibs
of the population mean.
(c) Find a 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round
your answer to two decimal places.)
Ibs <μ<
Ibs
(d) If you increase the confidence level (1 – a), will the confidence interval estimate be wider or
narrower? Explain.
-
Transcribed Image Text:Question 1 > The mean weight of 15 randomly selected newborn babies at a local hospital is 7.22 Ibs and the standard deviation is 0.2 lbs. Assume the weight of newborn babies has approximately normal distribution. (a) Find the margin of error for the 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) (b) Use information from part (a) to fill in the banks in the following sentence: % of all samples of size have sample means within Ibs of the population mean. (c) Find a 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) Ibs <μ< Ibs (d) If you increase the confidence level (1 – a), will the confidence interval estimate be wider or narrower? Explain. -
Eeek! Squestions is not defined or needs to be an array
At the Foremost State Bank the average savings account balance in 2012 was $1400. A random
sample of 31 savings account balanes for 2013 yielded a mean of $1550 with a standard deviation of
$75. At the a = 0.025 significance level test the claim that the mean savings account balance in
2013 is different from the mean savings account balance in 2012.
(a) Identify the correct alternative hypothesis.
Ομ< $1400
Ομ$1400
Ομ > $1400
ομ4 $1400
(b) The test statistic value is
- (Round your answer to two decimal places.)
(c) Using the critical value approach (traditional method), the critical value is
(Round your answer to three decimal places.)
(d) Based on your answers above, do you
O Fail to reject the Ho
O Reject the Ho
Transcribed Image Text:Eeek! Squestions is not defined or needs to be an array At the Foremost State Bank the average savings account balance in 2012 was $1400. A random sample of 31 savings account balanes for 2013 yielded a mean of $1550 with a standard deviation of $75. At the a = 0.025 significance level test the claim that the mean savings account balance in 2013 is different from the mean savings account balance in 2012. (a) Identify the correct alternative hypothesis. Ομ< $1400 Ομ$1400 Ομ > $1400 ομ4 $1400 (b) The test statistic value is - (Round your answer to two decimal places.) (c) Using the critical value approach (traditional method), the critical value is (Round your answer to three decimal places.) (d) Based on your answers above, do you O Fail to reject the Ho O Reject the Ho
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