In a test of the hypothesis H0: μ ≥ 40 versus Ha: μ < 40, a sample of n = 50 observations possessed the mean x = 39.3 and standard deviation s = 4.1. Find the P-value for this test.
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In a test of the hypothesis H0: μ ≥ 40 versus Ha: μ < 40, a sample of n = 50 observations possessed the
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- It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.4°F and a sample standard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the oa = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H1: H < 98.6°F Find the test statistic. tn = - 3.00 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)The tensile strength of steel bars produced by a manufacturer has a mean 30 MPa and the [10] standard deviation of 1.5MPa. By a new technique in the manufacturing process, it is claimed that the tensile strength can be improved. To test this claim, a sample of 50 steel bars is tested and it is found that the mean tensile strength is 30.5MPa. Can we support the claim at 0.01 level of significance?A random sample of n=4 is obtained from a population with a mean of u=80 and a standard deviation of o=12 what is the standard error,Om?
- Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05. What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(21/sqrt(45)) = -.639 T test score (108-110)/(21/sqrt(45)) = .639 %3D OT test score = (110-108)/(21/sqrt(45)) = .639 %3D T test score (108-110)/(45/sqrt(21)) =-.2037 %3D 素A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here (Round to three decimal places as needed.)Part 3c. Find the…A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ≠10 beats per minute D. H0: σ=10 beats per minute H1: σ<10 beats per minute b. Compute the test statistic. χ2=48.73448.734 (Round to three decimal places as needed.) c. Find…
- A simple random sample of 46 men from a normally distributed population results in a standard deviation of 9.6 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.The average test score at a university is 78 with a standard deviation of 5. A professor believes the average test score of students in his class is different form 78. If a sample of 102 students was selected with a sample mean score of 79.1 and our level of significance is set at .05: What is the standard error of the mean? What is the calculated test statistic (zobt). Compute effect size using Cohen’s dA sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
- A simple random sample of 43 men from a normally distributed population results in a standard deviation of 11.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.A random sample of 100 students showed that the average height is 168cm with a standard deviation of 15 cm. Test if the population mean is equal to 160 cm. Use alpha =0.05. What type of test is suited for this problem? [Select] What is the test statistic value? [ Select ] Is the null hypothesis rejected? [Select]Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05/ What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(45/sqrt(21)) = -.2037 O I test score = (108-110)/(21/sqrt(45)) = -.639 T test score = (108-110)/(21/sqrt(45)) = .639 I test score = (110-108)/(21/sqrt(45)) = .639
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