(Solved): Instruction: DO NOT use the T-table, use the invt() program available in your calculator to calcul ...

Instruction: DO NOT use the T-table, use the invt() program available in your calculator to calculate the tvalue. Round \( t_{c} \) to 3 decimal places and margin of error to 2 decimal places. A) A sample of 14 hummingbirds was randomly selected and gave a mean weight of \( 3.15 \) and standard deviation of \( 0.3 \) grams. Find the \( 81 \% \) confidence interval to estimate the population mean weight of hummingbirds. D. F. = \[ t_{c}= \] C.I. : \( 3.15 \pm \) B) A sample of 25 hummingbirds was randomly selected and gave a mean weight of \( 3.12 \) and standard deviation of \( 0.34 \) grams. Find the \( 98 \% \) confidence interval to estimate the population mean weight of hummingbirds. D. F. = \[ t_{c}= \] C.I : \( 3.12 \pm \) C) A sample of 81 hummingbirds was randomly selected and gave a mean weight of \( 3.14 \) and standard deviation of \( 0.32 \) grams. Find the \( 87 \% \) confidence interval to estimate the population mean weight of humming birds.