Question

In: Statistics and Probability

Assume that you are conducting a test with the following hypothesis Ho: μ = 11 vs...

Assume that you are conducting a test with the following hypothesis Ho: μ = 11 vs Ha: μ < 11. The test statistic for th test is t = -1.71 with a sample size of 30. What is the p-value for this test? Select one: a. between 0.005 and 0.01 b. between 0.100 and 0.050. c. between 0.02 and 0.01 d. between 0.05 and 0.025 e. between 0.0025 and 0.005

Solutions

Expert Solution

We have given,

Sample size =n=30

t=-1.71

Left tailed test.

Degree of freedom =n-1=30-1=29

P value =0.0490...............by using Excel =TDIST(ABS(-1.71),29,1)

0.025<0.0490<0.05

d. between 0.05 and 0.025


Related Solutions

Consider the following hypothesis test: Ho: μ ≤ 51 H1:   μ > 51       A sample...
Consider the following hypothesis test: Ho: μ ≤ 51 H1:   μ > 51       A sample of 60 is used and the population standard deviation is 8. Use α=0.05. Z critical = _______________ Sample mean = 53.5, z calc = ______________. Do you reject Ho? Sample mean = 51.8, z calc = ______________. Do you reject Ho? The Pvalue for c is:_________________
1) Given the the null hypothesis for this test is Ho: μ > x̅ and the...
1) Given the the null hypothesis for this test is Ho: μ > x̅ and the significance level for the test is α = .05 What is(are) the critical value(s) Z*(α) for accepting/rejecting the null hypothesis? (2 decimals) 2) Given the the null hypothesis for this test is Ho: μ > x̅ and the significance level for the test is α = .01 What is(are) the critical value(s) Z*(α) for accepting/rejecting the null hypothesis? (2 decimals) 3) Given the the...
Assume that z is the test statistic. (a) Ho: μ = 22.5, Ha: μ > 22.5;...
Assume that z is the test statistic. (a) Ho: μ = 22.5, Ha: μ > 22.5; x = 25.5, σ = 5.2, n = 23 (i) Calculate the test statistic z. (Give your answer correct to two decimal places.) (ii) Calculate the p-value. (Give your answer correct to four decimal places.) (b) Ho: μ = 200, Ha: μ < 200; x = 192.4, σ = 39, n = 32 (i) Calculate the test statistic z. (Give your answer correct to...
Given the following hypothesis: H0 : μ ≤ 11 H1 : μ > 11 For a...
Given the following hypothesis: H0 : μ ≤ 11 H1 : μ > 11 For a random sample of 10 observations, the sample mean was 13 and the sample standard deviation 4.20. Using the .05 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) Reject or don't reject? H0 if t > ? (b) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic : (c)...
Consider the following hypothesis test: Ho: u= 45 Ha: u (no equal to) 45 Assume the...
Consider the following hypothesis test: Ho: u= 45 Ha: u (no equal to) 45 Assume the population standard deviation is 5.2. A sample of 36 is used, the sample mean is 44. Find the test statistic, p-value and state your conclusion. Use a= 0.05 a. Test statistic b. P-Value: c. Conclusion
Suppose that you are testing the hypotheses H0​: μ =11 vs. HA​: μ <11 A sample...
Suppose that you are testing the hypotheses H0​: μ =11 vs. HA​: μ <11 A sample of size 64 results in a sample mean of 11.5 and a sample standard deviation of 2.4 ​a) What is the standard error of the​ mean? ​b) What is the critical value of​ t* for a 99 % confidence​interval? ​c) Construct a 99​%confidence interval for μ. ​d) Based on the confidence​ interval, at a =0.005 can you reject H0​? Explain. 2)Before lending someone​ money,...
A hypothesis test is to be performed with a Null hypothesis Ho: µ ≤ 20 and...
A hypothesis test is to be performed with a Null hypothesis Ho: µ ≤ 20 and an alternative hypothesis H1: µ > 20,  the population standard deviation is σ=3.0, the sample size is; n=30, and the significance level is α=0.025. 1) what is a type l error? a. reject h0 when h0 is incorrect b. reject h0 when h0 is correct c. do not reject h0 when h0 is incorrect d. do not reject h0 when h0 is correct 2) What...
Consider the following hypothesis test. H0: μ ≥ 70 Ha: μ < 70
   You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 70 Ha: μ < 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State...
Consider the following hypothesis test: H0 : μ ≥ 20 Hα : μ < 20 A...
Consider the following hypothesis test: H0 : μ ≥ 20 Hα : μ < 20 A sample of 45 provided a sample mean of 19.5. The population standard deviation is 1.8. a. Compute the value of the test statistic (to 2 decimals). Enter negative value as negative number. b. What is the p-value (to 3 decimals)? c. Using α=0.05, can it be concluded that the population mean is less than 20 ? d. Using α=0.05, what is the critical value...
Suppose that we are to conduct the following hypothesis test: H0:μ =1030 H1:μ>1030 Suppose that you...
Suppose that we are to conduct the following hypothesis test: H0:μ =1030 H1:μ>1030 Suppose that you also know that σ=170, n=90, x¯=1058.9, and take α=0.01. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT