statistics

posted by .

Use the method specified to perform the hypothesis test for the population mean µ. The highest acceptable level of pesticide found in quail has been limited to 0.35 parts per million (ppm). A hunting organization measured the level of the pesticide found in quail harvested from field trails. The group gathered data from a random sample of 20 quail. The sample produced a sample proportion of .44. Assume that the population standard deviation of σ = 0.21 ppm. At a = 0.05, does the data provide sufficient evidence to conclude that the mean level of pesticide is greater that the limit of 0.35 ppm.

a. Use the critical value z0 method from the normal distribution.

1. H0 : µ = .35
Ha : µ ≠ .35
2.a = 0.05 (one tail)
3.Test statistics: (0.44-0.35)/ (0.21/√20) = 1.92

4.P-value or critical z0 or t0.: z0 = 1.96
5. Rejection Region: Z<-1.96 or Z>1.96
6. Decision: do not reject Ho
7. Interpretation: not sufficient evidence to conclude that the mean level of pesticide is greater that the limit of 0.35 ppm.

b. Use the P-value method.

1.H0 :
Ha :
2.a =
3.Test statistics:
4.P-value or critical z0 or t0.
5.Rejection Region:
6.Decision:
7.Interpretation:

• statistics -

a. If you are using a one-tailed test, then:

Ha: μ > .35

You would reject, if Z ≥ 1.645 for P ≤ .05.

In your conclusion, you need to state that the value is or is not "significantly greater."

I did not check your calculations.

Similar Questions

1. STATS

Given a sample size of 18, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level 0.05 …
2. statistics

Given a sample size of 38, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level 0.05 …
3. hypothesis testing by mean levels

hi everyone... i have this homework.. i tried to solve it... can anyone check if it's right or not, please?
4. statistics

The highest acceptable level of pesticide found in quail has been limited to 0.35 parts per million (ppm). A hunting organization measured the level of the pesticide found in a random sample of 20 quail harvested from field trials. …
5. Science

A repair shop tested two methods(a & B) of replacing a broken roller. In testing method A, these times in minutes were measured (5 trials), 2,4,9,3,2. In testing methods B, these times in minutes were measured (6 trials), 3,7,5,8,4,3. …
6. statistics

A random sample of the houses in a particular city is selected and the level of radon gas is measured for each house in the sample. The values collected are given below in parts per million (ppm). Experience has shown that radon gas …
7. Statistics

Lead (Pb) concentrations were measured in waterfowl eggshell samples from two locations. In n1 = 41 samples from a location downstream from a paper mill, the mean Pb concentration was 1 x = 0.13 ppm with a standard deviation of s1 …
8. Statistics

Lead (Pb) concentrations were measured in waterfowl eggshell samples from two locations. In n1 = 41 samples from a location downstream from a paper mill, the mean Pb concentration was 1 x = 0.13 ppm with a standard deviation of s1 …
9. stat

The emission of 10 engines is found to be: 15.6, 16.2, 22.5, 20.5, 16.4, 19.4, 16.6, 17.9, 12.9, 13.9. The mean emission must, according to regulations, be u (mean) greater than 20 parts per million. Test this at a significance level …
10. Chemistry -Dr.Bob

Toxic chemicals in drinking water usually are reported and a safety level specified in units of parts per million (ppm) by mass. What is the molar concentration of arsenic in a water sample that has 1ppm arsenic (As)?

More Similar Questions