Question

# The following table shows the weights​ (in pounds) and the number of hours slept in a...

The following table shows the weights​ (in pounds) and the number of hours slept in a day by a random sample of infants. Test the claim that M not equals ≠0. Use alpha α equals = 0.1 0.1. Then interpret the results in the context of the problem. If​ convenient, use technology to solve the problem. LOADING... Click the icon to view more information about hypothesis testing for slope.   ​Weight, x 8.2 8.2 10.1 10.1 9.9 9.9 7.2 7.2 6.9 6.9 11.3 11.3 11.1 11.1 15.1 15.1 Hours​ slept, y 14.7 14.7 14.6 14.6 14.1 14.1 14.2 14.2 13.8 13.8 13.2 13.2 13.8 13.8 12.6 12.6 Identify the null and alternative hypotheses. A. Upper H 0 H0​: M not equals ≠0 Upper H Subscript Upper A HA​: M equals =0 B. Upper H 0 H0​: M greater than or equals ≥0 Upper H Subscript Upper A HA​: M not equals ≠0 C. Upper H 0 H0​: M less than or equals ≤0 Upper H Subscript Upper A HA​: M not equals ≠0 D. Upper H 0 H0​: M equals =0 Upper H Subscript Upper A HA​: M not equals ≠0 Calculate the test statistic. t equals = nothing ​(Round to three decimal places as​ needed.) Calculate the​ P-value P equals = nothing ​(Round to four decimal places as​ needed.) State the conclusion. ▼ Reject Fail to reject Upper H 0 H0. There is ▼ insufficient sufficient evidence at the 10 10​% level of significance to support the claim that there is a linear relationship between weight and number of hours slept.

Excel output for the same is attached below

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