The heights of adult females are approximately normally distributed, with an estimated mean of 64.0 inches and an estimated standard deviation of 2.84. Some researchers hypothesized that the actual standard deviation, o, of heights of adult females is greater than 2.84. These researchers chose a random sample of 28 adult females. The mean height of this sample was 64.3 inches, and the standard deviation was 3.48. Is there enough evidence to conclude, at the 0.1 level of significance, that the standard deviation of adult female heights is greater than 2.84? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

MATLAB: An Introduction with Applications
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The heights of adult females are approximately normally distributed, with an estimated mean of 64.0 inches and an estimated standard deviation of 2.84. Some
researchers hypothesized that the actual standard deviation, o, of heights of adult females is greater than 2.84. These researchers chose a random sample of 28
adult females. The mean height of this sample was 64.3 inches, and the standard deviation was 3.48. Is there enough evidence to conclude, at the 0.1 level of
significance, that the standard deviation of adult female heights is greater than 2.84?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H,.
p
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we support the claim that the standard deviation of heights of adult
females is greater than 2.84?
O Yes ONo
Transcribed Image Text:The heights of adult females are approximately normally distributed, with an estimated mean of 64.0 inches and an estimated standard deviation of 2.84. Some researchers hypothesized that the actual standard deviation, o, of heights of adult females is greater than 2.84. These researchers chose a random sample of 28 adult females. The mean height of this sample was 64.3 inches, and the standard deviation was 3.48. Is there enough evidence to conclude, at the 0.1 level of significance, that the standard deviation of adult female heights is greater than 2.84? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the standard deviation of heights of adult females is greater than 2.84? O Yes ONo
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