ample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 15 temperature rea ave a sample variance of 124. 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 ignificance. 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 (0) Find the valun of the sample F statistic. (Round your answer to two dedimal places.) what are the degrees of freedom What assumptione are you making about the original distribution The populations fllon dependent normat distributions We have random samples from each population The poputations folow independent normal distributions. We have random samples from each population. The populations foow iedependent chisquare diatributions. We have random samples from sach population The populations folow independent normal distibutions o red or etimate the Pvalue ofr the sangle test statac (Round your anawer to four decimal places)

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(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
• At the a 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and condlude the data are not statistically significant.
At the a - 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.
O Fall to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.
O Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.
O Fall to reject the null hypothesis, there is insufficient evidence that the population varlance is larger in the old thermostat temperature readings.
Transcribed Image Text:(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? • At the a 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and condlude the data are not statistically significant. At the a - 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. O Fall to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. O Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings. O Fall to reject the null hypothesis, there is insufficient evidence that the population varlance is larger in the old thermostat temperature readings.
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 doser to 25. One frozen food case was equipped with the new thermostat, and a random
sample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 15 temperature reading
gave a sample variance of 124. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermastat. Use a S% 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.
(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original distribution?
The populations foilow dependent normal distributions. We have random samples from each population
The populations follow independent normal distributions. We have random samples from each population.
The populations follow independent chi-square distributions. We have random samples from each population.
The populations follow independent normal distributions.
to Find or estimate the Pvalue of the sample test statiatic. (Round your answer to four decimal places.)
Transcribed Image Text: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 doser to 25. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 15 temperature reading gave a sample variance of 124. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermastat. Use a S% 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. (b) Find the value of the sample F statistic. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? The populations foilow dependent normal distributions. We have random samples from each population The populations follow independent normal distributions. We have random samples from each population. The populations follow independent chi-square distributions. We have random samples from each population. The populations follow independent normal distributions. to Find or estimate the Pvalue of the sample test statiatic. (Round your answer to four decimal places.)
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