Do the data give convincing evidence that the mean count of T cells is higher after 20 days on blinatumomab?
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A: Given : x¯ = 5.45 σ = 1.81 n = 5
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- High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60?Is narcissism a more common personality trait today than it was a few decades ago? It is known that the mean population score on the Narcissistic Personality Inventory (NPI) for students attending University of South Alabama around 20 years ago was μ= 15 (Twenge, 2010). Interested in the narcissism levels of students in the year 2020, a researcher administers the NPI to a random sample of 25 University of Alabama sophomores this Spring term. The mean NPI score from the researcher’s sample of sophomores is M = 16.5, with s = 3.4. 1. Write the null and alternative hypotheses in symbols. Possible symbols for your answer: H0, H1, μ, M, σ. 2. Calculate the standard error. 3. Find the critical value for the test statistic, assuming alpha = .05 (Use largest [i.e., most conservative] value if exact value not given in the chart) a) 2.064 b) 1.96 c) 1.98 d) 2.000Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…
- Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken fifteen blood tests for uric acid. The mean concentration was x = 5.40 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with ? = 1.89 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit= upper limit= margin of error= (b) What conditions are necessary for your calculations? (Select all that apply.) normal distribution of uric acid ? is unknown uniform distribution of uric acid n is large ? is known (c) Interpret your results in the context of this problem. We are 95% confident that the true uric acid level for this patient falls within this interval.The probability…Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123123 mg/dL and a standard deviation of 4141 mg/dL. If an individual's LDL is at least 11 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 11 or more standard deviations above the mean? Use the 6868–9595–99.799.7 rule. (Enter your exact answer as a whole number.)Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1600 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 16 recent mileages of Citrus cars was taken. The mean of these 16 mileages was 1517 miles per month, and the standard deviation was 233 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1600 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…
- Oral N-acetylcysteine (NAC) exerts a beneficial action in chronic bronchitis by reducing the number of exacerbations. Bontognali et al. [1] conducted a randomized, double-blind study to measure the effectiveness of NAC in the long-term treatment of patients with chronic bronchitis and mild airway obstruction. The response is the number of acute exacerbations per month. The mean value and standard deviation for both experimental and placebo group are given below: Placebo Sample size 59 Mean Standard Deviation 0.15 Sample size Standard Deviation 0.19 70 0.16 To test if there is a statistically significant differences between NAC and placebo in number of observed exacerbations, the author plans to conduct a hypothesis testing at 10% level of significance. Answer the following questions according to the study: NAC Mean 0.11A peditrician claimed that the average time for a drug to take effect is 15 minutes with standard deviation of eight minutes. In sample of 49 trials the average time was 18 minutes. Test the claim of a pediatrician that the average time is not equal to 15 minutes. Assume the the average time for a drug to take effect is approximately normal distributedAccording to a study, BMI among men aged 16-61 in the world follows a Normal distribution with mean 25.27 kg/m2 and variance 15.36 (kg/m2)2. What is the BMI of a man who caps the 20th percentile of men? Round to 4 decimal digits.
- An excess of high values for the cases distributed on a graph results in a positive skew in the data?In our ANOVA calculation, we want our within-group variation to be higher than the between-group variation. True or False?From Open Intro Statistics) The National Survey of Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men’s and women’s health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population.