You wish to test the following claim (H.) at a significance level of a = 0.05. H.:µ = 57.7 Ha:µ # 57.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 30 with mean M = 56.4 and a standard deviation of SD = 6.9. 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 = The p-value is... less than (or equal to) a Ogreater than a This test statistic leads to a decision to... reject the null |accept the null O 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 57.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.7. O The sample data support the claim that the population mean is not equal to 57.7. | There is not sufficient sample evidence to support the claim that the population mean

You wish to test the following claim (H.) at a significance level of a = 0.05. H.:µ = 57.7 Ha:µ # 57.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 30 with mean M = 56.4 and a standard deviation of SD = 6.9. 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 = The p-value is... less than (or equal to) a Ogreater than a This test statistic leads to a decision to... reject the null |accept the null O 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 57.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.7. O The sample data support the claim that the population mean is not equal to 57.7. | There is not sufficient sample evidence to support the claim that the population mean

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 78.8 Ha:u # 78.8 You believe the population is normally distributed, but you do not know the standard deviation. Yo- the following sample of data: data 89.8 93.6 83.4 91.5 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not e to 78.8. O There is not sufficient evidence to warrant rejection of the claim that the population mean is n equal to 78.8. O The sample data support the claim that the population mean is not equal to 78.8. O There is not…
need help with the ones that have the X
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 6 samples is 4.6 pm with a standard deviation of 1.0 Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 4 of 5 : Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to estimate the percentage of heights that are less than 61.9 inches. Round your answer to the nearest whole number (percent).
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
You wish to test the following claim (Ha) at a significance level of a = 0.005. H,:µ = 90.6 Ha:µ < 90.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 95.7 78.9 81.3 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... Oless than (or equal to) a greater than a
You suspect that people living in urban areas produce on average more garbage (X)than those living in rural areas (Y). To verify this opinion, you draw two samples and collect information on the amount of garbage produced in a month (measured in kilos). The first sample, made of 8 subjects living in an urban area, provides a sample mean equal to 40.5 and a sample standard deviation equal to 5.6; in the second sample, made of 10 subjects living in rural areas, the sample mean is 35.6 and the sample standard deviation is 7.5. It is assumed that the two populations are normal with the same unknown variance.Test the null hypothesis that the two population means are equal against a one-sided alternative according to which people living in urban areas produce on average more garbage than those living in rural areas. Use a 1% significance level.
A survey found that the average hotel room rates and standard deviations for the state of Arkansas and the state of Washington. Assume that the data were obtained from two samples were normally distributed. At a=0.1 level of significance, can it be concluded that there is a significant difference in the rates? Use the data table below. Report only the value required from the question below make sure to express your final answers in 4 decimal places. Parameter Arkansas Washington Sample size 82.00 72.00 sample 350.46 360.01 mean population standard deviation 29.17 27.20 a. Variance of Arkansas:
Apply the Empirical Rule to solve the following: The weight of a newborn manatee calf is normally distributed with a mean of 66 lbs and a standard deviation of 4 lbs. (Do NOT overuse the calculator on this problem. Apply the Empirical Rule.) a.Draw and label the normal curve. (Don’t forget the word label on the x-axis) b.What percent of manatee calves have a birth weight between 54 and 78 lbs? c. What percent of manatee calves have a birth weight of more than 74 lbs? d .What is the birth weight of the middle 68% of manatee calves? e. What percent of manatee calves weigh more than 58 lbs at birth? f. How much do the smallest 0.15% of manatee calves weigh at birth? g. What percent of manatee calves weigh less than 62 lbs at birth? h. What percent of manatee calves weigh 66 lbs or more at birth?
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 73.5 Ha:µ + 73.5 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 61 mean: M = 76 standard deviation: SD = 18.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.5. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.5.
The data given below are the weights for a sample of babies. Assume the population of birth weights is normally distributed with a mean of μ= 7.10 DATA: 6.88 6.00 8.19 7.44 7.06 5.06 8.38 7.44 8.31 6.38 What is the mean weight in our sample? What is the standard deviation of our sample? What is the z-score for the heaviest baby in the sample? Give both the X-value and the z-score. What is the z-score for the lightest baby in the sample? Give both the X-value and the z-score. Assuming the distribution of birth weights is normally distributed, what percent of the babies in this distribution weigh more than our heaviest baby?