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

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 12 hummingbirds was randomly selected and gave a mean weight of \( 3.14 \) and standard deviation of \( 0.34 \) grams. Find the \( 87 \% \) confidence interval to estimate the population mean weight of hummingbirds. \[ \text { D. } F_{\text {. }}= \] \[ t_{c}= \] C.I. : \( 3.14 \pm \) B) A sample of 24 hummingbirds was randomly selected and gave a mean weight of \( 3.18 \) and standard deviation of \( 0.32 \) grams. Find the \( 97 \% \) confidence interval to estimate the population mean weight of hummingbirds. \[ \text { D. } F \text {. }= \] C.I : \( 3.18 \pm \) C) A sample of 91 hummingbirds was randomly selected and gave a mean weight of \( 3.19 \) and standard deviation of \( 0.31 \) grams. Find the \( 80 \% \) confidence interval to estimate the population mean weight of hummingbirds. D. \( F_{\text {, }}= \) \[ t_{c}= \] \[ \text { C.I. } \div 3.19 \pm \]