Question

In: Statistics and Probability

Determine the p-value for testing: H0: µ = 15 Ha: µ > 15 when a random...

  1. Determine the p-value for testing: H0: µ = 15

Ha: µ > 15

when a random sample of size 18 was taken from a normal population whose standard deviation is unknown and the value of the test statistic equals 2.35.

  1. The 98% confidence interval for the population proportion of successes when a random sample of size 80 was taken from a very large population and the number of successes in that sample was counted to be 20.  No concluding statement is required.

Solutions

Expert Solution

a.

Degrees of freedom = df = n - 1 = 18 - 1 = 17

t = 2.35

We can use Excel function "TDIST()" as :

P-value = 0.0156

b.

98% confidence interval : ( 0.137 , 0.363 )


Related Solutions

You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS...
You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS of 15 observations from a Normal population. What values of the t statistic are statistically significant at the a = 0.005 level? t < - 3.326 or t > 3.326 t > 2.977 t < - 3.286 or t > 3.286 To study the metabolism of insects, researchers fed cockroaches measured amounts of a sugar solution. After 2, 5, and 10 hours, they dissected...
QUESTION 1: You are testing H0: µ = 0 against Ha: µ > 0 based on...
QUESTION 1: You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS of 16 observations from a Normal population. What values of the t statistic are statistically significant at the a = 0.005 level? t < - 3.286 or t > 3.286 t > 2.947 t < - 3.252 or t > 3.252 QUESTION 2: A study of commuting times reports the travel times to work of a random sample of 22 employed adults...
To test the hypothesis H0 : µ = 5 vs. Ha : µ 6= 5, a...
To test the hypothesis H0 : µ = 5 vs. Ha : µ 6= 5, a random sample of 18 elements is selected which yielded a sample mean of x¯ = 4.6 and a sample standard deviation of s = 1.2. The value of the test statistic is about: (a) −2.121 (b) −1.923 (c) −1.414 (d) 0.345 (e) 1.455
We want to test H0 : µ ≥ 200 versus Ha : µ < 200 ....
We want to test H0 : µ ≥ 200 versus Ha : µ < 200 . We know that n = 324, x = 199.700 and, σ = 6. We want to test H0 at the .05 level of significance. For this problem, round your answers to 3 digits after the decimal point. 1. What is the value of the test statistic? 2. What is the critical value for this test? 3. Using the critical value, do we reject or...
Consider the test of H0 : µ = 300 Vs. Ha : µ ≠ 300 using...
Consider the test of H0 : µ = 300 Vs. Ha : µ ≠ 300 using a random sample of 36 values and α = 5%. Assume that σ = 40. Find the power of the test when µa = 285.
Suppose that you are testing the hypotheses H0​: p=0.18 vs. HA​: p=/ 0.18. A sample of...
Suppose that you are testing the hypotheses H0​: p=0.18 vs. HA​: p=/ 0.18. A sample of size 150 results in a sample proportion of 0.25. ​a) Construct a 99​% confidence interval for p. ​ b) Based on the confidence​ interval, can you reject H0 at a =0.01​? Explain. ​c) What is the difference between the standard error and standard deviation of the sample​ proportion? ​d) Which is used in computing the confidence​ interval?
5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample...
5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample of size 20 provided a sample mean of 17 and a sample standard deviation of 4.5. a. 3pts.Compute the test statistic. b.3pts. Find the p-value at the 5% level of significance, and give the conclusion. c. 5pts.Make a 99% confidence interval for the population mean. d. 5pts.Suppose you have 35 observations with mean17 and S.d. 4.5. Make a 90% confidence interval for the population...
2. Suppose we have the hypothesis test H0 : µ = 200 Ha : µ >...
2. Suppose we have the hypothesis test H0 : µ = 200 Ha : µ > 200 in which the random variable X is N(µ, 10000). Let the critical region C = {x : x ≥ c}. Find the values of n and c so that the significance level of this test is α = 0.03 and the power of µ = 220 is 0.96.
Please show work/explain: 1. After testing H0: p = 0.33; versus HA: p < 0.33; at...
Please show work/explain: 1. After testing H0: p = 0.33; versus HA: p < 0.33; at α = 0.05, with  = 0.20 and n = 100, we do not reject H0. Group of answer choices True False 2. Based on a random sample of 25 units of product X, the average weight is 102 lb and the sample standard deviation is 10 lb. We would like to decide whether there is enough evidence to establish that the average weight for the...
Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the p-value based...
Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z tableor t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) p-value a. x = 46; n = 121 b. x = 105; n = 269 c. p⎯⎯p¯ = 0.40; n = 62...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT