A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 103.7, and the sample standard deviation is found to be 20.4. Is the population mean greater than100 at the x = 0.10 level of significance?Determine the null and alternative hypotheses.Ho:H₁:Compute the test statistic.=(Round to two decimal places as needed.)Determine the P-value.The P-value is . (Round to three decimal places as needed.)What is the result of the hypothesis test?the null hypothesis because the P-value isthe level of significance. At the α = 0.10 level of significance, the population mean

The mean significance between the sample and the population can be tested using the hypothesis test.…

Answered: A simple random sample of size n = 40…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.30979 g and a standard deviation of 0.06539 g. Identify the weights that are significantly low or significantly high. .BBE What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than (Round to five decimal places as needed.) O B. Weights that are between and (Round to five decimal places as needed. Use ascending order.) OCWeights that are less than (Round to five decimal places as needed.)
The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
The mean age of graduate students at a University is at most 31 years with a standard deviation of 2 years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is 3 years. Are the data significant at the 1% level? a. State the null and alternative hypothesesb. Performzscore and find p-valuec. Perform Cohen's d equationd. State answer
6
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A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…
In a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = .05. The alternative hypothesis is.. O Ha: µ + 100 Ha: µ 100 O Ha: µ = 100
Claim: The mean systolic blood pressure of all healthy adults is less than than 120 mm Hg. Sample data: For 276 healthy adults, the mean systolic blood pressure level is 119.61 mm Hg and the standard deviation is 14.88 mm Hg. The null and alternative hypotheses are Ho: μ = 120 and H₁: μ< 120. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) C
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men H₁ 11 97.66°F 0.75°F Women H₂ 59 97.22°F 0.68°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the…
A study was done on the body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.010.01significance level for both parts. Men Women μ μ1 μ2 n 11 59 x overbar 97.67°F 97.22°F s 0.77°F 0.66°F Test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? The test statistic, t, is __________ The P-value is __________ State the conclusion for the test. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. __________ <μ1 − μ2 < __________ Does the confidence interval support the conclusion found with the hypothesis test? __________, because the…
Use the scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3278.8 g and a standard deviation of 986.2 g. Newborn females have weights with a mean of 3026.9 g and a standard deviation of 549.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the Z score for the male is Z =______ and the z score for the female is z=______, the _______ has the weight that is more extreme. (Round to two decimal places.)
Medical Operations The director of a medical hospital feels that her surgeons perform more operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 213.2. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.05? Assume that the population is approximately normally distributed. Use the critical value method and tables. State the hypotheses and identify the claim. H0: Is a claim or not a claim H1: is a claim or is not a claim Find the critical value: Compute the test value: Make the decision Summarize the results. There is or is not enough evidence to support the claim.

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