A company claims that the mean monthly salary for their managers is 11 thousand dollars. A sample of 49 managers has a mean monthly salary of 10.6 thousand dollars with a standard deviation of 1.3 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10 Your hypotheses are: Ho:μ=11,000 Ha:μ<11,000 (a) Find the test statistic, rounded to 4 decimal places. Test Statistic = (b) FInd the p-value, rounded to 4 decimal places. p-value =

You wish to test the following claim (Ha) at a significance level of α=0.02      Ho:μ=57.8      Ha:μ≠57.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9with mean M=62.1 and a standard deviation of SD=11.6.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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.8. The sample data support the claim that the population mean is not equal…

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:μ=65.2Ho:μ=65.2       Ha:μ<65.2Ha:μ<65.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=101n=101 with mean M=62.6M=62.6 and a standard deviation of SD=7.9SD=7.9.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 =

It is reported in USA Today that the average flight cost nationwide is $595.711. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $595.711. The hypotheses for this situation are as follows: Null Hypothesis: µ 595.711. A random sample of 30 flights shows an average cost of $584.559 with a standard deviation of $59.3656. What is the test statistic and p-value for this test? 1) Test Statistic: 1.029, P-Value: 0.156 2) Test Statistic: -1.029, P-Value: 0.844 3) Test Statistic: -1.029, P-Value: 0.156 4) Test Statistic: -1.029, P-Value: 1.688 5) Test Statistic: 1.029, P-Value: 0.844

You wish to test the following claim (HaHa) at a significance level of α=0.05      Ho:μ1=μ2      Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of…

You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are:  Ho: μ=100  H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known.  Round to three decimal places where appropriate.  Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t =  Test Statistic: z =  Critical Value: t =  Critical Value: z =  p-value:  p-value:  Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.       Ho:μ=85.9Ho:μ=85.9       Ha:μ>85.9Ha:μ>85.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6n=6 with mean M=89.6M=89.6 and a standard deviation of SD=9.1SD=9.1. 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 =

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.      Ho:μ=75.5Ho:μ=75.5      Ha:μ<75.5Ha:μ<75.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9n=9 with mean M=56.6M=56.6 and a standard deviation of SD=16.2SD=16.2.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 =

Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?     Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?

You wish to test the following claim (HaHa) at a significance level of α=0.001      Ho:μ=87.4      Ha:μ>87.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=82 with mean M=93.1 and a standard deviation of SD=12.5What 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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null