and expenses charged by An artici expenses and municipal bond fund expenses are each approximately normally distributed, suppose a random funds gives a mean annual expense of 1.52 percent with a standard deviation of 0.23 percent, and an indepen 12 municipal bond funds gives a mean annual expense of 0.85 percent with a standard deviation of 0.41 percer annual expense for stock funds, and let 4z be the mean annual expense for municipal bond funds. Do parts a, equal variances procedure. ortune magazine reported on the rapid rise utual fundS. Assu (a) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense fo than the mean annual expense for municipal bond funds. Test these hypotheses at the 0.05 level of significand answer to 4 decimal places and t-value to 2 decimal places.) H0: µ1 – µ2 versus Ha : u1 - µ2 s2p t = 4.94 H0 with α- 0.05 (b) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense fo the mean annual expense for municipal bond funds by more than 0.5 percent. Test these hypotheses at the 0.0 (Round your t-value to 2 decimal places and other answers to 1 decimal place.) HO: µ1 - µ2 | versus Ha : u1 - p2 t = H0 with a = 0.05

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An article in Fortune magazine reported on the rapid rise of fees and expenses charged by mutual funds. Assuming that stock fund
expenses and municipal bond fund expenses are each approximately normally distributed, suppose a random sample of 12 stock
funds gives a mean annual expense of 1.52 percent with a standard deviation of 0.23 percent, and an independent random sample of
12 municipal bond funds gives a mean annual expense of 0.85 percent with a standard deviation of 0.41 percent. Let 4 be the mean
annual expense for stock funds, and let l, be the mean annual expense for municipal bond funds. Do parts a, b, and c by using the
equal variances procedure.
(a) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds is larger
than the mean annual expense for municipal bond funds. Test these hypotheses at the 0.05 level of significance. (Round your s,2
answer to 4 decimal places and t-value to 2 decimal places.)
: H0 μ1-μ2
s2p
versus Ha : u1 - µ2
%3D
4.94
H0 with a = 0.05
(b) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds exceeds
the mean annual expense for municipal bond funds by more than 0.5 percent. Test these hypotheses at the 0.05 level of significance.
(Round your t-value to 2 decimal places and other answers to 1 decimal place.)
H0: µ1 - u2
versus Ha : u1 - µ2
t =
H0 with a = 0.05
Transcribed Image Text:An article in Fortune magazine reported on the rapid rise of fees and expenses charged by mutual funds. Assuming that stock fund expenses and municipal bond fund expenses are each approximately normally distributed, suppose a random sample of 12 stock funds gives a mean annual expense of 1.52 percent with a standard deviation of 0.23 percent, and an independent random sample of 12 municipal bond funds gives a mean annual expense of 0.85 percent with a standard deviation of 0.41 percent. Let 4 be the mean annual expense for stock funds, and let l, be the mean annual expense for municipal bond funds. Do parts a, b, and c by using the equal variances procedure. (a) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds is larger than the mean annual expense for municipal bond funds. Test these hypotheses at the 0.05 level of significance. (Round your s,2 answer to 4 decimal places and t-value to 2 decimal places.) : H0 μ1-μ2 s2p versus Ha : u1 - µ2 %3D 4.94 H0 with a = 0.05 (b) Set up the null and alternative hypotheses needed to attempt to establish that the mean annual expense for stock funds exceeds the mean annual expense for municipal bond funds by more than 0.5 percent. Test these hypotheses at the 0.05 level of significance. (Round your t-value to 2 decimal places and other answers to 1 decimal place.) H0: µ1 - u2 versus Ha : u1 - µ2 t = H0 with a = 0.05
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