A simple random sample of the ages of 72 hospital nurses was withdrawn from a normal population with standard deviation 11.3 years. If the sample mean average is x=34.6 years, use alpha=0.01 significance level to test the claim that the mean age of hospital nurses when they started their careers is more than 32 years. Use methods:z-stat and p-value.
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A simple random sample of the ages of 72 hospital nurses was withdrawn from a normal population with standard deviation 11.3 years. If the sample mean average is x=34.6 years, use alpha=0.01 significance level to test the claim that the mean age of hospital nurses when they started their careers is more than 32 years. Use methods:z-stat and p-value.
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- A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 35 bag sample had a mean of 407407 grams. Assume the population variance is known to be 324. A level of significance of 0.02 will be used. State the null and alternative hypotheses.The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)Critical Values =± (Give answer to at least 4 decimal places) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 32 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = ________ (Give answer to at least 4 decimal places)Critical Values =± _______ (Give answer to at least 4 decimal places) Based on the above we choose to ____________ The correct summary would be: _________ that the claim that the mean age smokers first start is different than 13.
- The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12.3 years old. Do the data support the claim at the 5% significance level? What are the correct hypotheses? Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 2 decimal places) From the table(https://ma336.qccmathcs.com/ ), Find p-value = (Give answer to at least 4 decimal places)The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Ho: LU Test Statistic z = #v Critical Values =+ O OF 13 H₁: u Based on the hypotheses, find the following: 13 o years (Round to 4 decimal places.) (Round to 2 decimal places.) Based on the above we choose to Reject the null hypothesis years The correct summary would be: There is enough evidence to support the claim smokers first start is different than 13. that the mean ageA clinical researcher knows from experience that average body temperature for aparticular group they are studying is μ = 98.2 degrees Fahrenheit and populationstandard deviation σ = 0.73 deg Fahrenheit. Simulate 1,000 values from thisdistribution in R assuming normality. Plot the histogram and derive the summarystatistics. Can you explain the result? Why is random sampling important instatistics?
- The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS- electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Ho: Select an answer v ? v years H3: Select an answer v years The test is: O One-tailed O Two-tailedAn insurance company is interested in studying the mean hospitalization time of patients who suffer strokes at a certain hospital. The hospital claims the mean length of stay is 22 days, but the insurance company believes it is less than claimed. A random sample of 9 patients showed a sample mean stay of 18 days with a sample standard deviation of 3 days. They would like to conduct the test using alpha = 0.1. %3D Calculate the test statistic for the test and enter your answer in the first blank. Round your answer to two decimals. Enter the critical value cutoff point for the rejection region in the second blank. Blank # 1 Blank # 2 Next Page Page 8 of 15 126 NOV 18 MacBook ProIQs measured on a certain scale are normally distributed with a mean of 90 and a variance of 400. whats the probability that a random person will have an IQ between 120 and 130. the IQ of 51 people was taken, a sample mean of 90 and standard deviation of 64 was obtained. does this support that people tend to have IQs<100? use a 5% level of significance.
- Big babies: The National Health Statistics Reports described a study in which a sample of 96 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the P -value method and Excel. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a)State the appropriate null and alternate hypotheses. H0 : =μ25 H1 : >μ25 This hypothesis test is a ▼two-tailed test. Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b)Compute the value of the test statistic. Round the answer to at least three decimal places.…Suppose the mean weight of King Penguins found in an Antarctic colony last year was 15.4 kg. In a sample of 35 penguins same time this year in the same colony, the mean penguin weight is 14.6 kg. Assume the population standard deviation is 2.5 kg. At .05 significance level, can we reject the null hypothesis that the mean penguin weight does not differ from last year? Use P-value approach.The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 32 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? H0: Select an answer s² s p̂ x̄ σ p σ² μ ? ≥ = > ≠ < ≤ yearsH1: Select an answer p s s² σ² μ σ p̂ x̄ ? ≤ = ≥ < ≠ > years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)Critical Values =±± (Give answer to at least 4 decimal places) Based on the above we choose to Select an answer Accept the null hypothesis Accept the alternative hypotheis Fail to reject the null hypothesis Reject the null hypothesis The correct summary would…