Seven subjects are weighed before and after following a particular diet for two months. The average weight loss for the group was -1.6 pounds with a standard deviation of .5 pounds. Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight. a. Write the null and alternative hypotheses to test this claim. b. Perform a t-test for the mean difference from paired or dependent samples. What is the value of the test statistic? c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: a. It is considered that μ1, μ2 are the population means for Treatment and Placebo, respectively.
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: The question is about hypothesis testing and confidence interval.Given :Randomly selected no. of…
Q: John is the manager at the Deerfield Golf Course and would like to test the hypothesis that there is…
A:
Q: he sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10…
A: Given, Sample mean (x-) = 228.2 mg Population mean (μ)= 220 mg sample size (n)= 10 sample S.D. (s)=…
Q: Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the…
A:
Q: A pharmaceutical company testing efficacy of a new insulin drug reports a statistically significant…
A: It was stated that a pharmaceutical company testing efficacy of a new insulin drug reports a…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Denote μ1, μ2 as the population mean for treatment and placebo groups, respectively.
Q: Compute the standard error of the means of the difference scores (MD) for the following sample data,…
A:
Q: Claim: μ₁ = ₂; α = 0.01 Population parameters: o₁ = 3.5, 0₂ = 1.6 Sample statistics: X₁ = 15, n₁ =…
A: From the provided information, n1=30x1=15σ1=3.5n2=26x2=13σ2=1.6α=0.01
Q: The standard deviation of math test scores at one high school is 16.1. A teacher claims that the…
A: Solution To find p value we will use chi square distribution.
Q: When the difference between the means of two normal populations is checked using two independent…
A: The test is two independent samples t-test. Here, the population variances are equal. The sizes of…
Q: a. Frosted Flakes: 11 grams of sugar z= type your answer.... b. Apple Jacks: 14 grams of sugar z=…
A: Here given , Mean = 7.6 Standard deviation = 4.5
Q: A telephone company has reason to believe that the proportion of households having three telephone…
A: In this problem, we will test the significant difference between proportion p and population…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: From the provided information,
Q: Suppose that an advertisement claims the average weight loss for someone on a new fad diet is 15…
A: Given, Sample size = 18 Sample mean = 15.83 Population standard deviation = 4 Under the claim, the…
Q: A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the…
A:
Q: Given below are the analysis of variance results from a Minitab display. Assume that you want to use…
A: The test statistic used here is F statistic.
Q: Suppose a researcher wants to test the hypothesis that p = 0.37 versus the alternative that p ≠ 0.37…
A: Given information- Sample size, n = 29 Population proportion, p = 0.37 Given Hypothesis- Null…
Q: A random sample of 36 cans of soda is obtained and the contents are measured. The sample mean is…
A: Given Population mean μ=12, n=36, sample mean x̄=12.05, s=0.11
Q: A study was done on proctored and nonproctored tests. The results are shown in the table. Assume…
A: Given:n1=32, x1=78.11, s1=10.43n2=30, x2=87.16, s2=21.29 a) The test statistic…
Q: Use your own sample mean and sample standard deviation. A nutrition store in the mall is selling…
A: Testing the hypothesis about a population mean using the Z statistic σ known using following steps…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: a. Suppose μ1, μ2 are the population mean for Treatment and Placebo, respectively.
Q: The 95% confidence interval for the difference between means (Baseball minus Soccer) is (Round to…
A: The data shows the weights of male college baseball players and male college soccer players.
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Given information: Sample size (n1)=28Sample size (n2)=32x¯1=2.36x¯2=2.62s1=0.96s2=0.67Level of…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Given data Treatment Placebo µ µ1 µ2 n 27 39 x̅ 2.33 2.67 s…
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: Given the mean and sample standard deviation for the Treatment and Placebo groups…
Q: During an economic crisis, the average value of homes in a community of 36 homes lost $9347 with a…
A: Given information Hypothesized mean µ = $8880 Sample size (n) = 36 Mean x̅ = $9347 Standard…
Q: . Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below. A.…
A: Given that Sample size n =144 Favorable cases x =66 NOTE:- According to bartleby guidelines expert…
Q: Do You Rea de survey asked Sample uits, During the past out nov hany books did you read either all…
A: The mean number of books read is 15.Sample size Sample mean Sample standard deviation
Q: A study was done using a treatment group and a placebo group. The results are shown in the table.…
A: The question is about hypo. testing and confidence interval Given : No. of samples under treatment (…
Q: grocery store has taken a random sample of 100 customers The average length of time it took the…
A: Mean = 4.2Standard deviation = 0.6Sample size = 100
Q: Two samples were given the same task. One sample was put into a room painted red, and the pther was…
A: That is, there is no difference between tow population standard deviations. That is, there is…
Q: A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean…
A: Given: n = 29 x¯ = 597.9 s = 3.8 α = 0.01
Q: Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During…
A: Note:The given calculated values can be used to draw the conclusion.
Seven subjects are weighed before and after following a particular diet for two months. The average weight loss for the group was -1.6 pounds with a standard deviation of .5 pounds. Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight.
a. Write the null and alternative hypotheses to test this claim.
b. Perform a t-test for the
c. What is the associated P-value?
d. State your conclusion and explain in context using ΅ = 0.05.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:A 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of 613 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...Question content area bottomPart 1a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.A.H0: p≠0.5H1: p<0.5B.H0: p=0.5H1: p≠0.5C.H0: p=0.5H1: p<0.5D.H0: p=0.5H1: p>0.5Part 2b. What is the value of α?α=enter your response here (Type an integer or a decimal.)Part 3c. What is the sampling distribution of the sample statistic? Normal distribution Student (t) distribution χ2Part 4d. Is the test two-tailed, left-tailed, or right-tailed? Right-tailed…The mean potassium content of a popular sports drink is listed as 132 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 131.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content.. a. Ho: μ= 132 mg vs. H₁: b. He: ≤132 mg vs. H₁: c. He: ≥132 mg vs. H₁: Oa Ob Oc (b) Assuming a known standard deviation of 2.1 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic 132 mg >132 mg <132 mg (c) At the 2 percent level of significance (a = .02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ho
- 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 H 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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: #₁ = 1₂ H₁: H₁ H₂ OC. Ho: H₁According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data…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 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: HyChoose 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"Americans are about 1 inch taller but nearly 25 pounds heavier than in 1960. The average BMI increased from approximately 25 to 28 in 2002. Boston is considered one of americas healthiest cities. Is the weight gain since 1960 similar in boston? Sample of n=25 and mean increase of 17 with standard deviation of 8.6. Is boston statistically significantly different in terms of weight gain since 1960? Run the appropriate test at 5%level of significance. A.state the null and the research hypotheses, b. Idebtify critical values of z 9r t used to define the decision rule, c. Calculate the test statistic, d. Report the p-value, e. Report your findingsResearchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. Sex N Mean Standard deviation Males 59 2.91 1.46 Females 60 7.42 2.48 How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) isThe commercial for the new Meat Man Barbecue claims that it takes 9 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 9 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 9.7 minutes. The standard deviation for this survey group was 2.2 minutes. What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: H1: c. The test statistic (t 1.191 (please show your answer to 3 decimal places.) d. The p-value = 0.1169 (Please show your answer to 4 decimal places.) e. The p-value is ? ▼ a f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not significantly higher than 9 at a = 0.05,…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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman