Please help me answer all parts of this homework question In a random sample of 6 cell phones, the mean full retail price was $537.60 and the standard deviation was $189.00. Further research suggests that the populationmean is $431.53. Does the t-value for the original sample fall between - to g5 and to 95? Assume that the population of full retail prices for cell phones is normallydistributed.The t-value oftDfall between - to 95 and to 95 because to 95 =-(Round to two decimadoes notdoes

Name: Please help me answer all parts of this homework question In a random
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please help me answer all parts of this homework question In a random sample of 6 cell phones, the mean full retail price was $537.60 and the standard deviation was $189.00. Further research suggests that the populationmean is $431.53. Does the t-val

Given: The population mean of retail price of cell phones is $431.53. (μ0) Let n represents the sample of cell phones; that is; n=6. Let X¯ represents the sample mean full retail price; that is; X¯= $537.60. Let s represents the standard deviation; that is; s=$189.00. From the t table, the critical value obtained at (6-1)=5 degrees of freedom and at 0.95 confidence level is : -t0.95=-2.015 t0.95=2.015The t value is calculated as: t=X¯-μ0sn =537.60-431.531896 =1.37 Therefore, The t-value of t=1.37 does fall between -t0.95(=-2.015) and t0.95(=2.015) because t0.95=2.015.