At the 0.02 level of significance, can we conclude that there is a larger proportion of NDPS in favor of lowering the standards? (T1SA4B)
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- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level ofA nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionExperience has shown that the value of orders placed by customers of Handy Glass Ptyis normally distributed, with an average order value (µ) of R10 200, and a standarddeviation (σ) of R1 755. A sample of 85 orders is randomly selected. Determine the standard error for this sample.
- In a public opinion survey, 60 out of a sample of 100 high income voters and 40 out of a sample of 75 low income voters supported a decrease in value added tax VAT. Conclude at the 5% level of significance that the proportion of voters favoring a VAT Degrees difference between high and low income voters. (Where P1 is the proportion of all high income voters who is supported a decrease in VAT, p2 is the same for the low income voters ). The rejection region to test the above hypothesis at the 5% significance level (rounded off to two decimals) isA researcher conducts an independent- measures research study and obtains t = 2.070 with df = 28. How many individuals participated in the entire research study? Using a two- tailed test with α = .05, is there a significant difference between the two treatment conditions? Compute r2 to measure the percentage of variance accounted for by the treatment effect.Q3. Kaimura et al. (2000) investigated the effects of procyanidin B-2 tonic on human hair growth after sequential use for 6 months. In one part of the study, the total hair increase (total hairs at month 6 – total hairs at month 0) in the designated scalp area was measured for a sample of 15 men treated with a placebo control and a sample of 25 men treated with a procyanidin B-2 (PB2). The data is contained in the file A2Q3.csv. (This data is simulated based on information in the paper. You must use the data in the file to carry out the analysis). Is there evidence that the total hair increase of the subjects in the procyanidin B-2 group was greater the those in the placebo control group, at the 5% level of significance? State an appropriate null and alternative hypothesis in words and symbols.
- A researcher conducts an independent-measures study comparing two treatments and reports the t statistic as t(25)=2.071 . How many individuals participated in the entire study? Using a two-tailed test with αα=.05 , is there a significant difference between the two treatments? Compute r2 to measure the percentage of variance accounted for by the treatment effect.A manufacturer of flashlight batteries claims that the average life of her batteries is larger than 400 hours. Peter, as a quality assurance officer in the manufacturing company, took a random sample of 13 batteries from a day’s production and used them continuously until they failed to work. The lifetime (hours) until failure was:342 426 317 545 264 451 1049 631 512 266 492 562 298 (a) At the 0.05 level of significance, is there evidence that the manufacturer’s claim is correct? (b) What is the p-value?A car company claims that their Super Spiffy Sedan averages 31 mpg. You randomly select 8 Super Spiffies from local car dealerships and test their gas mileage under similar conditions. You get the following MPG scores: MPG: 30 28 32 26 33 25 28 30 Does the actual gas mileage for these cars deviate significantly from 31 (alpha = .05)?
- The lower quartile (Q1) height for JV players is the same as the ______ for Varsity players.A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.A researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6, with SS = 135. Are the cartoons rated as significantly funnier when the participants are smiling ? Use a one-tailed test with α = .05. Compute r2 to measure the size of the treatment effect. r2 is