A normal population has a standard deviation of 10. A random sample of 100 is taken to test H0:μ = 50,H1:μ >50 at the 0.05 significance level. The sample mean is 52. the p-value is:
Q: A car manufacturer advertises a car that gets 47 mpg. Suppose that wesampled 40 cars and found a…
A:
Q: The mean body mass index (BMI) for boys age 12 is 23.6 kg/m2. An investigator wants to test if the…
A: Given detect a difference in BMI of 2 kg/m2 standard deviation in BMI is 5.7 kg/m2. Asume that…
Q: 2. According size in the United States is normally distributed with a mean µ = 2392 square feet and…
A:
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…
Q: determine the percentile ranks (from their respective z-scores) using the normal curve for Teachers…
A: We want to find z value for given data
Q: A researcher wishes to see if there is a difference between the mean number of hours per week that a…
A: Claim: Test whether there is any difference between the means. Null Hypothesis: H0:μ1=μ2 Alternative…
Q: Use z scores to compare the given values. Based on sample data, newborn males have weights with a…
A: From the provided information, Newborn male have weights with mean (µM) = 3287.8 g Standard…
Q: Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in…
A:
Q: done using a treatment group and a placebo group. The results are shown in the table. Assume that…
A: The following null and alternative hypotheses need to be tested: Ho: \mu_1μ1 = \mu_2μ2 Ha:…
Q: Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see…
A:
Q: A manufacturer makes ball bearings that are supposed to have a mean weight of 30 g. A retailer…
A: From the provided information, Sample size (n) = 16 Sample mean (x̅) = 28.6 g Sample standard…
Q: Netflix: A study conducted by a technology company showed that the mean time spent per day browsing…
A: Sample size (n)=109Sample mean =21.6Population mean =20.6Standard deviation =7Test hypothesis: Claim…
Q: A simple random sample of 28 filtered 100-mm cigarettes is obtained from a normally distributed…
A: Given data : sample size, n = 28 population standard deviation,σ= 0.35 sample…
Q: m samples selected from normally distributed populations, and do not assume that the population…
A: Given, A study was done using a treatment group and a placebo group. The results are shown in the…
Q: In the population of drivers, the mean number of traffic violations in the last 10 years is 5.2. In…
A: It is given that Population mean = 5.2 Sample mean = 4.25
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Given that, A study was done using a treatment group and a placebo group. The results are shown in…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Correct option: Option A Obtain the value of the test statistic. The value of the test…
Q: Find a raw score. What is the raw score? (
A: Here given, The mean for a data set is 66. The standard deviation is 2 , and the z score is 0.55.
Q: Find the Z-score that describes the following proportions under the normal curve (within 0.01…
A: The area is middle 20%.
Q: During an economic crisis, the average value of homes in a community of 36 homes lost $9589 with…
A: Consider that μ defines the population mean amount homes.
Q: The time it takes students to finish the Statistics Exam is known to be normally distribe standard…
A: Given σ=25 minutesMargin of error=5 minutesConfidence level=80%Significance level=1-confidence…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: A study was done using a treatment group and a placebo group. It is assumed that the two samples are…
Q: A grain researcher is developing a new variety of wheat. They would like to know if the new strain…
A: The question is hypo. testing for difference between two popl. means Given : No. of randomly…
Q: Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by…
A:
Q: Given in the table are the BMI statistics for random samples of men and women. Assume that the two…
A: Given in the table are the BMI statistics for random samples of men and women. Assuming that the two…
Q: The Newtower Company has experienced a 3.2% rate of customer complaints and attempts to lower this…
A: Given, here it used binomial distribution where rate is equal to mean 1.5% = 0.015 We will use…
Q: The number of reviews for each of the local restaurants is counted. The results are normally…
A:
Q: Calculate SS, 0², and standard deviation for the following population of N = 5 scores: 6, 0, 4, 2, 3…
A: The individual data score is given as follows:60423The number of scores: .
Q: 36% of a population has a particular characteristic. If samples of size n=400 are taken, calculate…
A: Solution: From the given information, the probability of a particular characteristic is 0.36 and the…
Q: Consider a value to be significantly low if its z score less than or equal to - 2 or consider a…
A: Let μ=5.77599 g is the weight(in grams) of a type of coin.σ=0.05076 g is the standard…
Q: for a normal distribution with a population mean of 74 and a standard deviation of 8, what is the…
A: given data normal distributionμ = 74σ = 8to saperate top 60% x = ?
Q: Compute the range and sample standard deviation for strength of the concrete (in psi). 3990,…
A:
Q: Compute the range and sample standard deviation for strength of the concrete (in psi). 3990,…
A: The objective is to compute the range and sample standard deviation for strength of the concrete…
Q: A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed…
A: Assume that σ is the population standard deviation of tar content of each cigarette.
Q: Use z scores to compare the given values. Baned on sample data, newbom males have weights with a…
A:
Q: Calculate the z-score for the largest value and interpret it in terms of standard deviations. Do the…
A: It is given that mean is 28.766, standard deviation is 3.369, the largest value is 35.100 andthe…
Q: We have collected data on the total number of minutes people spent in the local emergency room. The…
A: From the provided information, Mean (µ) = 166.9 min Standard deviation (σ) = 55.4 min Let X be a…
Q: A factory that manufactures bolts is performing a quality control experiment. Each object should…
A: The null and alternative hypothesis is, The test statistic z can be calculated as: The p-value for…
Q: Age Differences In a large hospital, a nursing director selected a random sample of 43 registered…
A: Let μ1 for the mean age of the nursing assistants.
Q: A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed…
A: State the hypotheses
A normal population has a standard deviation of 10. A random sample of 100 is taken to test H0:μ = 50,H1:μ >50 at the 0.05 significance level. The sample mean is 52. the p-value is:
Step by step
Solved in 2 steps with 2 images
- Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. H: u = 24 not claim Η: μ 24 claim The hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):An oil company conducts a geological study that indicates that an exploratory oil well should have a 10% chance of striking oil. What is the probability that the third strike comes on the seventh well drilled?One-Way Airfares The average one-way airfare from Pittsburgh to Washington D.C. is $236. A random sample of 19 one-way fares during a particular month had a mean of $208 with a standard deviation of $43. At α=0.05, is there sufficient evidence to conclude a difference from the stated mean?
- The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inchesThe number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4. What percentage of restaurants have between 15 and 20 reviews? Standard Normal Table 2 9.95% 6.2% 120 10.57% 50%A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Your answer is correct. The test statistic, t, is (Round to two decimal places as needed.)
- Watching TV: The 2012 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.09 with a standard deviation of 2.9. Assume that in a sample of 37 teenagers, the sample standard deviation of daily TV time is 2.2 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers differs from 2.9? Use the a=0.10 level of significance.Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) OIn a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = .05. The alternative hypothesis is.. O Ha: µ + 100 Ha: µ 100 O Ha: µ = 100During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…Compute the range and sample standard deviation for strength of the concrete (in psi). 3910, 4090, 3500, 3100, 2940, 3830, 4090, 4040SEE MORE QUESTIONS