A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) Weight (after) |1 2 3 4 5 6 19.4 19.8 21.5 20.7 21.6 23.7 19.2 19.8 21.4 20.8 21.5 23.6 (a) Identify the daim and state Hg and H What is the dlaim? OA Pneumonia causes weight gain in mice. OB. Weight loss causes pneumonia in mice. OC. Weight gain causes pneumonia in mice. OD. Pneumonia causes weight loss in mice. Let g be the hypothesized mean of the difference in the weights (before - after). What are Hg and H? OA H: sa OB. Hza OC. Hạ: He =0 OD. Hy: k20 OF. Ha: #0 Ha: He =0 OE Ho: He s0 a= (Round to three decimal places needed.) Calculate s S=(Round to three decimal places as needed.) (d) Find the standardized test statistic t t= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V the null hypothesis. There Venough evidence to Vthe claim that V causes Vin mice.

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A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a= 0.05, is there enough evidence to support the scientist's claim? Assume the samples are
random and dependent, and the population is normally distributed. Complete parts (a) through (e) below.
Mouse
Weight (before) 19.4 19.8 21.5 20.7 21.6 23.7
Weight (after)
12 3 456e
9.2 19.8 21.4 20.8 21.5 23.6
(a) Identify the claim and state Ho and Ha.
What is the claim?
O A. Pneumonia causes weight gain in mice.
O B. Weight loss causes pneumonia in mice.
OC. Weight gain causes pneumonia in mice.
OD. Pneumonia causes weight loss in mice.
Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and H,?
O A. Họ: He sa
OB. Họ: He 2a
OC. Hg: He =0
Hg: He 0
OD. Hg: Ha 20
OE. Ho: Ha s0
OF. Hg: He *0
Ha: Ha >0
Ha: He =0
d= (Round to three decimal places as needed.)
Calculate s.
S = (Round to three decimal places as needed.)
(d) Find the standardized test statistic t.
t= (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
V the null hypothesis. There
V enough evidence to
the claim that
V causes
Vin mice.
Transcribed Image Text:A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a= 0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) 19.4 19.8 21.5 20.7 21.6 23.7 Weight (after) 12 3 456e 9.2 19.8 21.4 20.8 21.5 23.6 (a) Identify the claim and state Ho and Ha. What is the claim? O A. Pneumonia causes weight gain in mice. O B. Weight loss causes pneumonia in mice. OC. Weight gain causes pneumonia in mice. OD. Pneumonia causes weight loss in mice. Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and H,? O A. Họ: He sa OB. Họ: He 2a OC. Hg: He =0 Hg: He 0 OD. Hg: Ha 20 OE. Ho: Ha s0 OF. Hg: He *0 Ha: Ha >0 Ha: He =0 d= (Round to three decimal places as needed.) Calculate s. S = (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V the null hypothesis. There V enough evidence to the claim that V causes Vin mice.
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