Researchers determine that 60 puffs tissues are the average number of tissues used during a cold. suppose a random sample of 100 puffs users yielded the following data on the number
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Researchers determine that 60 puffs tissues are the average number of tissues used during a cold. suppose a random sample of 100 puffs users yielded the following data on the number of tissues used during a cold: x̅=52 and s=22. Using the sample information provided, the value of the test statistic is?
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- Astudy was done on body temperatures of men and women. 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.Which of the following samples will produce the largest value for a t statistic? Solect one: a. D = 10 with SS 40 b. D= 5 with SS = 20 O c. D= 10 with SS = 20 d. D = 5 with SS = 40The hourly wages of a sample of 130 general workers are given below: mean = 60 range = 20 The coefficient of variation equals: Select one: - A. None of the other options O B. 30% OC. 54% D. 5.4% E. 0.30% Clear my choice variance = 324 M mode = 73 median = 74
- 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"Alpha equals 0.01 level of significance for the given sample data.N(u, E) be a Gaussian random variable with mean u E Rd and covariance matrix E e Rdxd. Assuming that E is invertible. Let a e Rd be a fixed vector, and Y = a'X € R be a random variable. Calculate E[Y], Var(Y), E[X|Y = y], and Cov(X|Y = y) = E[Xx'|Y = y] – E[X|Y = y]E[X"|Y = y]. Let X
- In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 58 subjects wore magnetic insoles and 40 subjects wore nonmagnetic insoles. The results are shown at the right. At a= 0.06, can you support the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Do you Feel Better? Magnetic Insoles I Yes 20 I No 38 Nonmagnetic Insoles Yes 17 No 23 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z O B. z> O D. z< C. (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis Choose the correct answer below.A traffic officer suspects that the mean number of car accidents every week is 4. A sample of 16 weeks showed a mean of 7. If the variance of car accidents in the population is 4, then the correct test statistics at 5% significance level is Select one: O a. t= 3 O b. t= 6 O c. Z= 6 O d. Z= 3A researcher wants to know if male and female college students differ with regard to their GPAs. She randomly gets 16 male and 16 female college students to report their GPAs. The males reported a mean GPA of 3.05 with a SS = 3.75. The females reported a mean GPA of 3.1 with a SS = 2.4. You are going to be conducting an independent samples t-test. Compute the independent samples t-statistic:
