Consider the following hypothesis test: H0: μ =18 Ha: μ =18 A sample of 48 provided a sample mean = 19 and a sample standard deviation s =4.7. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At α = .01, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?

Q1: A researcher was interested in the effect of exercise on stress levels. For the general population, the distribution of the Stress Battery Scale scores is normal with the mean of µ = 25 and the standard deviation of σ = 5. A sample of n = 100 participants was asked to exercise for three weeks and then reported their stress levels. The sample mean was ?X = 23. Conduct a hypothesis test and determine the effect of exercise. Use the two-tailed test α = .01 1.Type the null and research hypotheses in complete sentences. 2.Cut off points 3.Standard error and z-score -show your computation process 4.Your conclusion thoroughly.

Which of the following is the best decision and conclusion based on the result below? H.: p = 0.10 Ha:p + 0.10 Critical Value: +1.645 Computed Test Statistics: z = 5.61 O a. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O b. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10evel of significance, there is enough evidence that the population proportion is different from 10%. O c. Since the computed test statistics is greater than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O d. Since the computed test statistics is less than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there…

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ=67.6Ho:μ=67.6      Ha:μ<67.6Ha:μ<67.6You believe the population is normally distributed. You obtain a sample mean of 64.2 and a sample standard deviation of 10.4 for a sample of size 34.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12.  Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the conclusion of this test?

Need asap     19.    A vendo machine is designed to fill plastic cups with 19 ounces of orange juice. A costumer suspects that the machine is not filling the plastic cups completely. A sample of 35 cups has a mean of 18.7 ounces and a standard deviation 0.9 ounce. Is there enough evidence to support the consumer’s claim at α=0.01? What is the value of the statistical test?  A.    2.97B.    -2.97C.    -1.97D.    1.9720.    In t – test, if the population standard deviation is unknown what is used to replace the population standard deviation?A.    sample sizeB.    population varianceC.    sample standard deviationD.    hypothesis standard deviation21.    Which of the following does not describe a null hypothesis?A.    It is denoted by HoB.    It has a statement of equalityC.    It is the hypothesis to be testedD.    It states a specific difference between a parameter and statistics22.    A group of researchers wants to test the truth in the company’s claim that the travel time from Manila…

For the following​ claim, find the null and alternative​ hypotheses, test​ statistic, critical​ value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population.    ​Claim: The mean IQ score of statistics professors is less than 122. Sample​ data: n=21​, x=120​, s=14. The significance level is α=0.05.   1. Determine the test statistic t. t= ____ ​(Round to three decimal places as​ needed.)     2. Find the critical value using a​ t-distribution table.   The critical value is ____ ​(Round to three decimal places as​ needed.)     3. What is the​ conclusion?   A. Fail to reject the null hypothesis and do not support the claim tha μ>130. B. Reject the null hypothesis and do not support the claim that μ>130.   C. Reject the null hypothesis and support the claim that μ>130.   D. Fail to reject the null hypothesis and support the claim that μ>130.

Consider the following hypothesis test: H0: mu=15 Ha: mu not = to 15   A sample of 40 provided a sample mean of 14.18 . The population standard deviation is 5 . Enter negative value as negative number. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. Using a=.05, can it be concluded that the population mean is not equal to 15 ?- Select your answer -YesNoItem 3 Answer the next three questions using the critical value approach. d. Using a=.05 , what are the critical values for the test statistic? (+ or -) (to 2 decimals) State the rejection rule: RejectH0 if z is - Select your answer -greater than or equal to greater than  less than or equal to less than equal to not equal to  the lower critical value and is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to  the upper critical value. Can…

If the t-statistic for a single sample t-test is 1.58, what can you conclude? a. The test is significant at an alpha level of .05. b. The sample size of the test was at least 30. c. The sample mean was larger than the population mean. d. The population standard deviation was smaller than the difference between the sample mean and the population mean.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40.     (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value =