what is the test statistic? what is the p value?
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Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from
Store A customers and Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 162.75 df. Test the null hypothesis at α=0.10.
store a store b
n 83 82
y 42 55
s 20 19
what is the test statistic?
what is the p value?
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- MY NOTES Bags of a certain brand of tortilla chips claim to have a net weight of 12.5 oz. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: μ = 12.5, HA: μ < 12.5. To do this, he selects 24 bags of tortilla chips of this brand at random and determines the net weight of each. Data reveals a bell-shaped histogram, a sample mean of 12.31 ounces, and a standard deviation of 0.48 ounces.(a) What type of test is this? Two-sided, one-sample test Two-sided, two-sample test One-sided, two-sample test One-sided, one-sample test (b) Given the test statistic = -1.94 and α = 0.05, which of the following statements is the decision? Reject H0; conclude the bags are underweight. Fail to reject H0; do not conclude the bags are underweight. Fail to reject H0; conclude the the bags are underweight. Reject H0; conclude the bags are overweight.Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53
- The data below are from a sensory deprivation study looking at hearing threshold before and after one hour in a sensory deprivation chamber. Seven subjects had their hearing checked both before and after they were in a dark, silent chamber. Hearing threshold is the minimum sound level you can detect. Test the hypothesis that hearing should be more sensitive (thus lower numbers) after sensory deprivation compared with before (use alpha = .05). BEFORE: 11, 34, 18, 33, 35, 22, 35 AFTER: 13, 31, 18, 29, 32, 20, 28 What is the design of this study? What is the independent variable? What is the dependent variable? n = people Is the hypothesis one-tailed or two-tailed? State the Hypotheses in symbols and words: in words: Hị: in words: Create an Excel data file organized by rows. Each row is a participant. Variables – Before, After Open this dataset in JASP. To test the experimenters' hypothesis, perform a related samples t-test by selecting T-Tests > Classical > Paired Samples t-test (Student…8/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.H0: μ1 = μ2 = μ3Ha: At least two of the means differ from each other Forumla A Forumla B Forumla C 51 39.4 53.6 55.8 55.1 42.4 53.8 33.1 50.1 43.2 58.7 40.4 42.1 40.4 46.9 50.1 19 45.6 59.5 43.2 48.7 35.4 32.2 49.5 45.2 16.4 56.1 Run a one-factor ANOVA with α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.F = p-value = Based on the p-value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
- p 15 Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the alpha = 0.05 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than 15 sunscreen. Let represent the proportion of SPF 15 sunscreen wearers who get a sunburn and represent the proportion of SPF 30 sunscreen wearers who get a sunburn. (Round your results to three decimal places) 1. Which would be correct hypotheses for this test? O O H 0 :p 15 =p 30 , H 1 :p 15 ne p 30 H 0 :p 15 =p 30 , H H 1 :p 15 <p 30 O H 0 :p 15 <p 30 ,H 1 :p 15 >p 30 O H 0 :p 15 =p 30 H 1 :p 15 >p 30 A random sample of 250 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour10 of them later reported a sunburn. Another random sample of 250 beach- goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 7 of them later reported a sunburn. 2.Find the test statistic 3. Give the P-value: answer only…A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:pBags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…
- A researcher develops a new exercise regimen for influencing muscle strength. The researcher knows that scores on a well-validated measure of muscle strength are normally distributed with µ = 15 and σ = 4. The researcher administers their new exercise regimen to a sample of n = 64 adults who subsequently score M = 16.5 on the measure of muscle strength. Which conclusion can the researcher make based on the results of this research study? a. The new exercise regimen has an effect on muscle strength because the computed z-score reaches the z = ±1.96 threshold. b. The new exercise regimen has an effect on muscle strength because the computed z-score does not reach the z = ±1.96 threshold. c. The new exercise regimen does not have an effect on muscle strength because the computed z-score reaches the z = ±1.96 threshold. d. The new exercise regimen does not have an effect on muscle strength because the computed z-score does not reach the z = ±1.96 threshold.Researchers want to test a new anti-hunger weight loss pill. They have 10 people rate their hunger both before and after taking the pill. Does the pill do anything to alleviate hunger? Use a two-tail test with an α=.05. Answer the questions below before making a statistical decision. BEFORE PILL AFTER PILL 9 7 10 6 7 5 5 4 7 4 5 6 9 7 6 5 8 5 7 7 1. Calculate the degrees of freedom and find the critical regions cut-off values for a two-tail test, α =.05.3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…