### Hypothesis Testing at a Significance Level of \( \alpha = 0.10 \)You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):\[ H_0: \mu = 87.1 \]\[ H_a: \mu < 87.1 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:| data ||-------|| 54.5 || 56.5 || 67.6 || 30.4 || 83.3 || 102.2 |1. **Test Statistic Calculation** What is the test statistic for this sample? (Report answer accurate to three decimal places.) \[ \text{test statistic} = \_\_\_\_\_\_\_\_ \]2. **P-value Calculation** What is the p-value for this sample? (Report answer accurate to four decimal places.) \[ \text{p-value} = \_\_\_\_\_\_\_\_ \]3. **Decision Making** The p-value is... - ☐ less than (or equal to) \( \alpha \) - ☐ greater than \( \alpha \)### ConclusionThis test statistic leads to a decision to...- ☐ reject the null- ☐ accept the null- ☐ fail to reject the null

Significance level()=0.10The null and alternative hypothesis isH0:Ha:The sample data set…

Answered: You wish to test the following claim…

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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Similar questions

The mean systolic blood pressure for white males aged 35-44 in Canada is U. A report said that the mean blood pressure and standard deviation of a sample of 13 diabetic males aged 35-44 are 128.53 and 7.59, respectively. Let μ denote the true mean systolic blood pressure for diabetic males aged 35-44. H0: μ = 126.38 versus Ha: μ > 126.38 What is the p-value? A.) 0.836 B.) 0.327 C.) 0.418 D.) 0.164
Q2: Serum amylase determinations were made on a sample of 15 apparently healthy subjects in the Electricity Power Plant of Nasriya January 2010. The sample yielded a mean of 96 and a standard deviation of 35 units/100ml. Estimate the true mean of serum amylase in the healthy population of Nasriya.
280 men are found to have an average pulse rate of 73 (beats per minute) with standard deviation 5.4, and 240 women are found to have an average pulse rate of 72 (beats per minute) with standard deviation 7.7. A researcher is interested in whether, on average, men have higher pulse rates than women. What is the most appropriate test for the researcher to use? A. chi-square test B. z-test for the difference between two proportions C. paired sample t-test D. two sample t-test
You want to estimate the mean amount of time Internet users spend on Facebook each month. How many Internet users must be surveyed in order to be 90% confident that your sample mean is within 10 minutes of the population mean? Based on results from a prior survey, assume that the standard deviation of the population of monthly times spent on Facebook is 210 minutes.
Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n= bacteria
In 16 women with diabetes, the morning blood sugar mean was 49.4 with a standard deviation of 24.0. In normal healthy women, the mean was 47.0. From the sample information, can we conclude that the blood sugar mean in women with rheumatoid arthritis is greater than that in normal women? Assume a significance level of 0.05.
A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2 years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter A. mu = The mean life span of the 35 male symphony conductors in the sample B. p = The proportion of all male symphony conductors who life more than 69.5 years C. mu = The mean life span of all male symphony conductors D. mu = The mean life span of all males b. State the null and alternative hypotheses A. Upper H 0 : mu equals 73.2 Upper H 1 : mu greater than 73.2 B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5 C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5 D. Upper H 0…
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) What is the z-score for a woman 70 inches tall? z-score = What is the z-score for a man 80 inches tall? z-score =

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