A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 446 gram setting. Is there sufficient evidence at the 0.02 level that the bags are underfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
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- A Data analytics professor wants to know whether level of college education influences the grade earned by students in his course. Last semester, 400 students completed his class: 150 freshmen, 100 sophomores, 100 juniors, and 50 seniors. At end of the semester, 80 students earned an A, 148 earned a B, and 172 earned a C. The distribution of grades is shown in the following table. Do a chi-square test at alpha=0.05. What is the null hypothesis for this test? A. The letter grades of the students are significantly different. B. The letter grades of the students are dependent of the level of college education. C. The letter grades of the students are identical. D. The letter grades of the students are independent of the level of college education.A newsletter publisher believes that less than 36%36% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.010.01 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
- An ANOVA test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis. ANOVA is a test between groups to see if there’s a difference between them. State the four assumptions required for one-way ANOVA. How crucial are these assumptions? One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations? In one-way ANOVA, identify the statistic used a. as a measure of variation among the sample means. b. as a measure of variation within the samples. c. to compare the variation among the sample means to the variation within the samples. 4. What is a two-way ANOVA?The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 408 gram setting. Is there sufficient evidence at the 0.02 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
- The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.Big fish: A sample of 250 flounder of a certain species have sample mean weight 50.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is less than 49 grams. State the appropriate null and alternate hypotheses.Answer the following True or False: Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up accepting the alternative hypothesis in error. false true
- Fil 10. A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance. Demonstrate the five steps for hypothesis testing and explain your results. Subject İnitial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 210 209 6. 125 126Which is NOT a correct statement about the Null hypothesis a. The average days per week that elementary students lifted weights was the same for 2011 and 2013 b. The average time spent in sedentary behaviors is not different between male and female c. The mean body mass index for adults in County A is not different from the mean body mass index in adults in County B d. The mean sleep time for 4th grade students is different from the mean sleep time for 5th grade studentsThe Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. In 2010, the CO2 emissions for a random sample of 31 countries were collected. Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: Fill in the correct null and alternative hypotheses:�0: ��: A Type I error in the context of this problem would be A Type II error in the context of this problem would be