A refrigeration unit at a restaurant is supposed to be kept...

Name: A refrigeration unit at a restaurant is supposed to be kept at 40
Uploaded: 2023-12-26T21:13:59-08:00
Duration: 2 min 40 s
Channel: Joanna Quigley
Description: A refrigeration unit at a restaurant is supposed to be kept at 40

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A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of 25°F. However, it is hoped that the new thermostat might be more dependable in the sense that it will hold temperatures closer to 25°F. One frozen food case was equipped with the new thermostat, and a random sample of 26 temperature readings gave a sample variance of 4.7. Another similar frozen food case was equipped with the old thermostat, and a random sample of 14 temperature readings gave a sample variance of 12.2. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermostat. Use a 5% level of significance. How could your test conclusion relate to the question regarding the dependability of the temperature readings? (Let population 1 refer to data from the old thermostat.) (a) What is the level of significance? State the null and alternate hypotheses. H0: σ12 = σ22; H1: σ12 ≠ σ22H0: σ12 = σ22; H1: σ12 > σ22 H0: σ12 > σ22; H1: σ12 = σ22H0: σ12 = σ22; H1: σ12 < σ22 (b) Find the value of the sample F statistic. (Round your answer to two decimal places.) What are the degrees of freedom? dfN = dfD = What assumptions are you making about the original distribution? The populations follow independent chi-square distributions. We have random samples from each population.The populations follow dependent normal distributions. We have random samples from each population. The populations follow independent normal distributions.The populations follow independent normal distributions. We have random samples from each population. (c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.) p-value > 0.1000.050 < p-value < 0.100 0.025 < p-value < 0.0500.010 < p-value < 0.0250.001 < p-value < 0.010p-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.Fail to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.Fail to reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.

Sri K.

According to the National Coffee Association of America, hot coffee should be served at 185 degrees Farenheit. A resident of a small town in South Carolina believes his local coffee shop is serving coffee at a different temperature than this recommendation. He visits the coffee shop on 22 randomly selected days over a 2 month period, and based on this sample, he constructs a 88% confidence interval for the average coffee temperature at the local coffee shop. This interval is (176.34, 183.95). Using this confidence interval, select the correct conclusion. 1. He will reject the null hypothesis because the hypothesized parameter value is on the interval. 2. He will reject the null hypothesis because the hypothesized parameter value is not on the interval. 3. He will fail to reject the null hypothesis because the hypothesized parameter value is on the interval. 4. He will fail to reject the null hypothesis because the hypothesized parameter value is not on the interval. If he decided to set this up as a significance test, he would be guaranteed to make the same conclusion as a 88% confidence interval if he used what significance level? 1. 0.01 2. 0.88 3. 0.12 4. 0.06 5. 0.05

Qudsiya A.

A commercial bakery's ovens are designed to bake cakes at a temperature of 350.0 °F. The ovens are calibrated so that their temperatures should be normally distributed with a mean of 350.0 °F and a standard deviation of 4.4 °F. During a recent inspection, the bakery's quality control supervisor selected a random sample of 12 ovens and recorded their temperatures. She recorded her summary statistics in the following table. Test of μ=350.0 vs μ≠350.0, the assumed standard deviation=4.4, significance level of α=0.05 Sample size Sample mean Standard error n x̄ SE 12 347.7 °F 1.27017 °F Complete the analysis by calculating the P-value and making the decision. Give the P-value precise to at least four decimal places. The supervisor wants her results to be statistically significant at a level of α=0.05. Use the data provided and the P-value you calculated to fill in the blanks and complete the sentences that form the supervisor's conclusion. P = The decision is to the hypothesis. There is evidence that the ovens' mean temperature is °F.

David N.