Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters, and a variance of 49 If a random sample of 41 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 2.2 millimeters? Round your answer to four decimal places
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- Please answer within 30min thanks.A random sample of 10 subjects have weights with a standard deviation of 13.0649 kg. What is the variance of their weights? Be sure to include the appropriate units with the result. ..... The variance of the sample data is (Round to four decimal places as needed.) MacBook DD 80 000 000 F9 F10 esc F5 F7 F8 F2 F3 F4 F6 F1 & #3 7 8 9A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
- In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation and career. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, the sample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answer the questions below. Show your work for each question and round all numeric answers to 3 decimal places. a) Find the probability that at least 0.175 of a random sample of 2,596 US adults respond "occupation and career b) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and career c) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2,596?**Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? 143 140 141 136 133 Right arm Left arm 180 174 192 140 144 In this example, . is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Ha = 0 O B. Ho: Hd #0 0 = Prt :H O D. Ho: Hd =0 H O C. Ho: Ha 0 Identify the test statistic. t%3D (Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test?…Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 150 142 120 131 167 160 179 156 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Hd = 0 H₁: Hd 0 Since the P-value is than the significance level, the null hypothesis. There sufficient evidence to support the claim of a difference in measurements between the two arms.
- please answer question 2Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation and career. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, the sample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answer the questions below. Show your work for each question and round all numeric answers to 3 decimal places. a) Find the probability that at least 0.175 of a random sample of 2,596 US adults respond "occupation and career b) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and career c) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2.596?**
- Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $5000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,700 Region 2 X2 = $62,000 01 = $8825 02 = $9025 n1 = 48 n2 = 43 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. ..... Choose the correct null and alternative hypotheses below. B. Ho: H1- H2 O C. Ho: H1 -H2 > 5000 Ha: H1 - H2 55000 O A. Ho: H1 - H2 > 5000 + 5000 Ha: H1 - H2 2 5000 Ha: H1 - H2 = 5000 O E. Ho: H1 - H2 2 5000 O D. Ho: H1 - H2 = 5000 Ha: H1 - H2 # 5000 F. Ho: µ1 - H2 5 5000 Ha: H1 - H2 > 5000 Ha: H1 - H2 В. ZPlease answer the question in the photo. Thank you!Answer the number 14 question.