You wish to test the following claim (H.) 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 O greater than a This leads to a decision to... O reject the null 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 not equal to 73.5. O The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.5.

You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:p= 81.6 H.:µ ± 81.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E ch 86.6 83.3 100.9 82.4 80.4 85 69.1 79.8 79.3 75.3 88.5 76.3 79.8 75.5 76.5 80 65.9 94.9 73.9 72 84.5 73.3 82.9 77.5 97 84.5 80.9 70.5 83.8 76.3 78.4 94.1 94.9 88.8 94.1 91.2 76.5 88.1 94.1 71.7 82.9 87.8 80 86.6 92.8 81.1 80.9 91.2 80.2 84 88.5 88.5 72.4 83.8 70.1 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 (Ha) at a significance level of a = 0.005. H.:µ = 88.5 Ha:µ > 88.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 106.4 104.8 122.1 106.7 112.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho: μ = 76.3 Ha: μ#76.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 78.7 and a standard deviation of SD = 7.2. 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 =

The following is a frequency distribution of ages of residents of a senior citizens' home in New York. Fill in the midpoints, then calculate the mean and the standard deviation. Round to two decimal positions. You may assume the data represents a population.   Ages of Residents Midpoints Frequency 54−6254-62   3 63−7163-71   4 72−8072-80   1 81−8981-89   2   Mean (μμ)=  Standard deviation (σσ) =  Round the standard deviation up to 2 decimal places if necessary. Hint: Use the midpoint for each class (ages of residents).

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0.  x / 2 3 4 3 3 y / 9 7 9 9 12 Compute the value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)

Please help me with the following question.

For the following dataset, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset: The weight of each apple in a shipment of 1000 apples.

You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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? For this calculation, use the P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…

The mean salary at a local industrial plant is $29,600 with a standard deviation of $5700. The median salary is $25.300 and the 59th percentile is $30,200. Step 5 of 5: If Tom's salary has a z-score of 0.6, how much does he earn (in dollars)?