Find the range for the population mean value with 95% and 65% confidence intervals for each set of data. 3.611 0.02cm n 24

Complete Question

Find the range for the population mean value with 95% and 65% confidence intervals for each set of data.

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The range for the population mean value with 95% confidence intervals for the first set of data  is

The range for the population mean value with 95% confidence intervals for the second  set of data  is

The range for the population mean value with 65% confidence intervals for the first   set of data  is

The range for the population mean value with 65% confidence intervals for the second set of data  is

Step-by-step explanation:

Generally the range for the population mean value with 95% confidence intervals for the first set of data  is mathematically evaluated as follows

Generally the degree of freedom is mathematically evaluated as

=>  

=>  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of    at  is  

Generally the margin of error is mathematically represented as  

=>    

=>  

Generally 95% confidence interval is mathematically represented as  

=>  

Generally the range for the population mean value with 95% confidence intervals for the second set of data  is mathematically evaluated as follows

Generally the degree of freedom is mathematically evaluated as

=>  

=>  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of    at  is  

Generally the margin of error is mathematically represented as  

=>    

=>  

Generally 95% confidence interval is mathematically represented as  

=>  

Generally the range for the population mean value with 65% confidence intervals for the first set of data  is mathematically evaluated as follows

Generally the degree of freedom is mathematically evaluated as

=>  

=>  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of    at  is  

Generally the margin of error is mathematically represented as  

=>    

=>  

Generally 95% confidence interval is mathematically represented as  

=>    

Generally the range for the population mean value with 65% confidence intervals for the second set of data  is mathematically evaluated as follows

Generally the degree of freedom is mathematically evaluated as

=>  

=>  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of    at  is  

Generally the margin of error is mathematically represented as  

=>    

=>  

Generally 95% confidence interval is mathematically represented as  

=>    

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13