The price of a popular tennis racket at a national chain store is $179. Portia bought five of the same racket at an online auction site for the following prices: 155, 179, 175, 175, 161. Assume that the auction prices of rackets are normally distributed. In determining whether there is sufficient evidence in the sample, at a level of significance a = $179 if purchased at an online auction, the following hypotheses are considered. 0.05, to conclude that the average price of the racket is less than Ho = 179 versus H1 : µ < 179. The value of the test statistic equals: Select ] The reference distribution is the: [Select ] The rejection region for the test is given by: Select] The decision from this test is to: [Select ]

If sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer?   A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance.     C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.

A local McDonald's manager will return a shipment of hamburger buns if more than 10% of the buns are crushed. A random sample of 81 buns finds 13 crushed buns. A 5% significance test is conducted to determine if the shipment should be accepted. The p value for this situation is:

Suppose that in a random selection of 100 colored​ candies, 23​% of them are blue. The candy company claims that the percentage of blue candies is equal to 26​%. Use a 0.05 significance level to test that claim.

Previously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…

According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%).  Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores.  If you want you can use JASP for help with the calculations.  Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05.   a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher?  Do you reject the null hypothesis?   Report the t test results in APA format…

A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.

Construct a sample (with at least two different values in the set) of 5 measurements whose mean is equal to the median. If this is not possible, indicate "Cannot create sample".

To test whether there is a difference in the quality of some ballpoint pens produced by Scribulus, Writine, and Fantapen, random samples from each brand were purchased and the following data were collected: Scribulus Writinc Fantapen number purchased failed to write 41 29 16 300 250 200 Use a 5% level of significance to test whether there is any difference in quality measured by the proportion of pens that failed to write.