Question

A nutrition laboratory tests 50 ​"reduced sodium" hot​ dogs, finding that the mean sodium content is 317mg, with a standard deviation of 36 mg.

​a) Find a 95​% confidence interval for the mean sodium content of this brand of hot dog.

​b) What assumptions have you made in this​ inference? Are the appropriate conditions​ satisfied?

​c) Explain clearly what your interval means.

A nutrition laboratory tests 50 "reduced sodium" hot dogs, finding that the mean sodium content is 317 mg, with a standard deviation of 36 mg. a) Find a 95% confidence interval for the mean sodium content of this brand of hot dog b) What assumptions have you made in this inference? Are the appropriate conditions satisfied? c) Explain clearly what your interval means. a) Find a 95% confidence interval for the mean sodium content of this brand of hot dog nde (Round to one decimal place as needed.) b) What assumptions have you made in this inference? d A. 0 B. ° C. We have assumed that the hot dog weights are random and that the distribution of the population of hot dog weights is not biased. We have assumed that the hot dog weights are independent and that the distribution of the population of hot dog weights is normal. We have assumed that the hot dog weights are not multimodal and that the distribution of the population of hot dog weights does not contain any outliers.

Answer 1

uton* From given dato n: 50 Mean X= 317- Standard deviation s =36 a.) Deqree of freedom df - dfa4q Standard erYor SEC 50 SECX)- 5.09 The crit' al value ㈦o.c25, 49 49-2-01じFrom is t-table) 95% on유dence Interval for X t *005,49 3 0.2329 306.8|32+.2- b) We hove assumed fat Porulatien foluos hormal distribulien. go, kle hare acsumed that tha doą toehts are. independert and that the distributien of the, populabbn o hot da veigts is Nomal. pten We are 95% confident that the true mean Sodium Content in these " reduced Sodicum" is belhoten) 306. 8 and 327.2m hat we are Computed from) the glven Sanrple. c)