Question

In: Statistics and Probability

A biologist examines 6 geological samples for lead concentration. The mean lead concentration for the sample...

A biologist examines 6 geological samples for lead concentration. The mean lead concentration for the sample data is 0.714 cc/cubic meter with a standard deviation of 0.0126. Determine the 90% confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Solutions

Expert Solution

Given that,

n = 6

Degrees of freedom = df = n - 1 =6 - 1 = 5

At 90% confidence level the t is ,

= 1 - 90% = 1 - 0.90 = 0.1

/ 2 = 0.1 / 2 = 0.05

t /2,df = t0.05,5 = 2.015    ( using student t table)

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

= 2.015 * (0.0126 / 6)

=0.010

The 90% confidence interval estimate of the mean is,

- E < < + E

0.714 - 0.010 < <0.714 + 0.010

0.704 < < 0.724

( 0.704 , 0.724)

The 90% confidence interval estimate of the mean is,( 0.704 , 0.724)


Related Solutions

A biologist examines 6 geological samples for lead concentration. The mean lead concentration for the sample...
A biologist examines 6 geological samples for lead concentration. The mean lead concentration for the sample data is 0.714 cc/cubic meter with a standard deviation of 0.0126. Determine the 90% confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 2 of 2: Construct the 90% confidence interval. Round your answer to three decimal places.
A biologist examines 23 sedimentary samples for bromide concentration. The mean bromide concentration for the sample...
A biologist examines 23 sedimentary samples for bromide concentration. The mean bromide concentration for the sample data is 0.349 cc/cubic meter with a standard deviation of 0.0527. Determine the 98% confidence interval for the population mean bromide concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A biologist examines 29 seawater samples for iron concentration. The mean iron concentration for the sample...
A biologist examines 29 seawater samples for iron concentration. The mean iron concentration for the sample data is 0.334 cc/cubic meter with a standard deviation of 0.0139. Determine the 99% confidence interval for the population mean iron concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A biologist examines 17 seawater samples for magnesium concentration. The mean magnesium concentration for the sample...
A biologist examines 17 seawater samples for magnesium concentration. The mean magnesium concentration for the sample data is 0.252 cc/cubic meter with a standard deviation of 0.074. Determine the 80% confidence interval for the population mean magnesium concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A researcher examines 39 seawater samples for lead concentration. The mean lead concentration for the sample...
A researcher examines 39 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.771 cc/cubic meter with a standard deviation of 0.0589. Determine the 90% confidence interval for the population mean lead concentration. Assume the population is normally distributed. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A geologist examines 1717 sedimentary samples for magnesium concentration. The mean magnesium concentration for the sample...
A geologist examines 1717 sedimentary samples for magnesium concentration. The mean magnesium concentration for the sample data is 0.4880.488 cc/cubic meter with a standard deviation of 0.04180.0418. Determine the 80%80% confidence interval for the population mean magnesium concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A student examines 88 seawater samples for nitrate concentration. The mean nitrate concentration for the sample...
A student examines 88 seawater samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.424 cc/cubic meter with a standard deviation of 0.0827. Determine the 90% confidence interval for the population mean nitrate concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A geologist examines 22 water samples for magnesium concentration. The mean magnesium concentration for the sample...
A geologist examines 22 water samples for magnesium concentration. The mean magnesium concentration for the sample data is 0.637 cc/cubic meter with a standard deviation of 0.0358. Determine the 95% confidence interval for the population mean magnesium concentration. Assume the population is approximately normal. Step 2 of 2 : Construct the 95% confidence interval. Round your answer to three decimal places.
A physicist examines 28 sedimentary samples for mercury concentration. The mean mercury concentration for the sample...
A physicist examines 28 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.863 cc/cubic meter with a standard deviation of 0.0036 Determine the 98% confidence interval for the population mean mercury concentration. Assume the population is approximately normal.
A physicist examines 4 seawater samples for potassium chloride concentration. The mean potassium chloride concentration for...
A physicist examines 4 seawater samples for potassium chloride concentration. The mean potassium chloride concentration for the sample data is 0.604 cc/cubic meter with a standard deviation of 0.0177. Determine the 80% confidence interval for the population mean potassium chloride concentration. Assume the population is approximately normal. 1)Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. 2)Construct the 80% confidence interval. Round your answer to three decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT